Matching numbers in fuzzy graphs

The present study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a matching called “matching number”. Matching numbers in a fuzzy graph are not only a direct tool in improving existing matching optimization algorith...

Full description

Saved in:
Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 67; no. 1-2; pp. 1 - 22
Main Authors Khalili, M., Borzooei, R. A., Deldar, M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2021
Springer Nature B.V
Subjects
Algorithms
Apexes
Applied mathematics
Computational Mathematics and Numerical Analysis
Graph matching
Graph theory
Graphs
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Optimization
Optimization algorithms
Original Research
Theory of Computation
Matching
Vertex-fuzzy number
Strong-vertex matching
Matching numbers
Edge-fuzzy number
Fuzzy prior
Online AccessGet full text

Cover

Abstract The present study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a matching called “matching number”. Matching numbers in a fuzzy graph are not only a direct tool in improving existing matching optimization algorithms, but also can be used to build optimization algorithms based on the vertices of a matching. Thus, introduce the properties of matching numbers which are useful in constructing and solving edge-fuzzy and vertex-fuzzy maximization problems.
AbstractList The present study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a matching called “matching number”. Matching numbers in a fuzzy graph are not only a direct tool in improving existing matching optimization algorithms, but also can be used to build optimization algorithms based on the vertices of a matching. Thus, introduce the properties of matching numbers which are useful in constructing and solving edge-fuzzy and vertex-fuzzy maximization problems.
Author Borzooei, R. A.
Khalili, M.
Deldar, M.
Author_xml – sequence: 1
  givenname: M.
  surname: Khalili
  fullname: Khalili, M.
  organization: Department of Mathematics, Tehran Central Branch, Islamic Azad University
– sequence: 2
  givenname: R. A.
  orcidid: 0000-0001-7538-7885
  surname: Borzooei
  fullname: Borzooei, R. A.
  email: borzooei@sbu.ac.ir
  organization: Department of Mathematics, Shahid Beheshti University
– sequence: 3
  givenname: M.
  surname: Deldar
  fullname: Deldar, M.
  organization: Department of Mathematics, Tehran Central Branch, Islamic Azad University
BookMark eNp9kM9LwzAUx4NMcJv-A54KnqPvJUubHGWoEyZe9BzSNuk6XDqT9rD-9UYrePPweI_H9wd8FmTmO28JuUa4RYDiLiJDBRRYGlzlnI5nZI4yF5SBFLN0CyWpSI8LsohxD5AXCtScZC-mr3atbzI_HEobYtb6zA3jeMqaYI67eEnOnfmI9up3L8n748PbekO3r0_P6_strTiqntpUy5QxFS-tWynHeSnAYS7KGsrScZSKI7q8tpZJq3gtK1PnBa-TiFlm-JLcTLnH0H0ONvZ63w3Bp0rNRIEgUbIiqdikqkIXY7BOH0N7MOGkEfQ3CT2R0ImE_iGhx2TikykmsW9s-Iv-x_UFvBBiQw
CitedBy_id crossref_primary_10_1371_journal_pone_0285603
crossref_primary_10_1177_16878132221110005
crossref_primary_10_1002_int_23019
crossref_primary_10_1007_s40314_023_02498_1
crossref_primary_10_1007_s00500_023_08650_7
crossref_primary_10_3390_sym15010137
Cites_doi 10.3233/JIFS-190621
10.1257/000282805774669637
10.1007/978-3-319-71407-3
10.3390/sym10090404
10.4153/CJM-1958-027-8
10.1017/CBO9780511608704
10.1016/j.socscimed.2006.05.002
10.1016/B978-0-12-775260-0.50008-6
10.1016/S0167-8655(98)00064-6
10.3233/IFS-162110
10.1080/00029890.1962.11989827
10.1007/s13370-015-0336-5
10.5373/jarpm.1971.021614
10.1142/S1793005717400105
10.1007/s12190-020-01329-4
10.3233/JIFS-17758
10.1007/978-1-349-03521-2
10.1007/BF01305952
10.1007/s12190-019-01248-z
10.1145/28395.383347
10.1007/3-540-13345-3_42
ContentType Journal Article
Copyright Korean Society for Informatics and Computational Applied Mathematics 2021
Korean Society for Informatics and Computational Applied Mathematics 2021.
Copyright_xml – notice: Korean Society for Informatics and Computational Applied Mathematics 2021
– notice: Korean Society for Informatics and Computational Applied Mathematics 2021.
DBID AAYXX
CITATION
7SC
7TB
8FD
FR3
JQ2
KR7
L7M
L~C
L~D
DOI 10.1007/s12190-020-01463-z
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
ProQuest Computer Science Collection
Civil Engineering Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Civil Engineering Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList Civil Engineering Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1865-2085
EndPage 22
ExternalDocumentID 10_1007_s12190_020_01463_z
GroupedDBID -52
-5D
-5G
-BR
-EM
-Y2
-~C
.86
.VR
06D
0R~
0VY
1N0
2.D
203
29J
2J2
2JN
2JY
2KG
2KM
2LR
2VQ
2~H
30V
3V.
4.4
406
408
40D
40E
5VS
6NX
7WY
88I
8FE
8FG
8FL
8G5
8TC
8UJ
95-
95.
95~
96X
AAAVM
AABHQ
AABYN
AAFGU
AAHNG
AAIAL
AAJKR
AANZL
AARHV
AARTL
AATNV
AATVU
AAUYE
AAWCG
AAYFA
AAYIU
AAYQN
AAYTO
ABDZT
ABECU
ABFGW
ABFTD
ABFTV
ABHQN
ABJCF
ABJNI
ABJOX
ABKAS
ABKCH
ABMNI
ABMQK
ABNWP
ABQBU
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABUWG
ABWNU
ABXPI
ACBMV
ACBRV
ACBXY
ACBYP
ACGFS
ACGOD
ACHSB
ACHXU
ACIGE
ACIPQ
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACSNA
ACTTH
ACVWB
ACWMK
ADHIR
ADINQ
ADKNI
ADKPE
ADMDM
ADOXG
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEEQQ
AEFTE
AEGAL
AEGNC
AEJHL
AEJRE
AEOHA
AEPOP
AEPYU
AESKC
AESTI
AETLH
AEVLU
AEVTX
AEXYK
AFGCZ
AFKRA
AFLOW
AFMKY
AFNRJ
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGGBP
AGJBK
AGMZJ
AGPAZ
AGQMX
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHSBF
AHYZX
AIAKS
AIIXL
AILAN
AIMYW
AITGF
AJBLW
AJDOV
AJRNO
AJZVZ
AKQUC
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AOCGG
ARAPS
ARMRJ
ASPBG
AVWKF
AXYYD
AYJHY
AZFZN
AZQEC
B-.
BA0
BAPOH
BDATZ
BENPR
BEZIV
BGLVJ
BGNMA
BPHCQ
CAG
CCPQU
COF
CS3
CSCUP
DDRTE
DNIVK
DPUIP
DWQXO
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRNLG
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNUQQ
GNWQR
GQ6
GQ7
GROUPED_ABI_INFORM_COMPLETE
GUQSH
HCIFZ
HF~
HG6
HMJXF
HRMNR
HVGLF
HZ~
IJ-
IKXTQ
IWAJR
IXC
IXD
IZQ
I~X
J-C
J0Z
JBSCW
JZLTJ
K60
K6V
K6~
K7-
KOV
L6V
LLZTM
M0C
M0N
M2O
M2P
M4Y
M7S
MA-
N2Q
N9A
NDZJH
NF0
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
P19
P62
P9R
PF0
PQBIZ
PQQKQ
PROAC
PT4
PT5
PTHSS
Q2X
QOK
QOS
R89
R9I
RHV
RNS
ROL
RPX
RSV
S16
S1Z
S26
S27
S28
S3B
SAP
SCLPG
SDD
SDH
SHX
SISQX
SMT
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TSG
TSV
TUC
U2A
UG4
UNUBA
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W48
WK8
YLTOR
Z45
Z83
ZMTXR
ZWQNP
AACDK
AAEOY
AAJBT
AASML
AAYXX
ABAKF
ACAOD
ACDTI
ACZOJ
AEARS
AEFQL
AEMSY
AFBBN
AGQEE
AGRTI
AIGIU
CITATION
H13
PQBZA
SJYHP
7SC
7TB
8FD
AAYZH
FR3
JQ2
KR7
L7M
L~C
L~D
ID FETCH-LOGICAL-c319t-e01429aac3bef49f33b50f165bd0bbf3189311f6dee28e93d8cad673d0f12e2a3
IEDL.DBID U2A
ISSN 1598-5865
IngestDate Sat Nov 16 05:05:54 EST 2024
Thu Sep 12 17:07:15 EDT 2024
Sat Dec 16 12:09:05 EST 2023
IsPeerReviewed true
IsScholarly true
Issue 1-2
Keywords Matching
Vertex-fuzzy number
Strong-vertex matching
Matching numbers
Edge-fuzzy number
Fuzzy prior
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c319t-e01429aac3bef49f33b50f165bd0bbf3189311f6dee28e93d8cad673d0f12e2a3
ORCID 0000-0001-7538-7885
PQID 2571081827
PQPubID 54415
PageCount 22
ParticipantIDs proquest_journals_2571081827
crossref_primary_10_1007_s12190_020_01463_z
springer_journals_10_1007_s12190_020_01463_z
PublicationCentury 2000
PublicationDate 10-2021
PublicationDateYYYYMMDD 2021-01-01
PublicationDate_xml – year: 2021
  text: 10-2021
PublicationDecade 2020
PublicationPlace Berlin/Heidelberg
PublicationPlace_xml – name: Berlin/Heidelberg
– name: Dordrecht
PublicationTitle Journal of applied mathematics & computing
PublicationTitleAbbrev J. Appl. Math. Comput
PublicationYear 2021
Publisher Springer Berlin Heidelberg
Springer Nature B.V
Publisher_xml – name: Springer Berlin Heidelberg
– name: Springer Nature B.V
References Wattenhofer, Wattenhofer, Guerraoui (CR34) 2014
Biggs (CR5) 1974
Mohan, Gupta (CR18) 2011; 1
Rosenfeld (CR23) 1975
Akaiyama, Egawa, Enomoto (CR2) 1988
Mathew, Mordeson, Malik (CR16) 2018
CR19
Sarwar, Akram, Ali (CR24) 2020; 38
Bondy, Murty (CR6) 1976
CR10
CR32
Borzooei, Rashmanlou (CR8) 2016; 30
Malik, Sarwar (CR15) 2016; 27
Akram, Saleem, Davvaz (CR4) 2019; 16
Vazirani (CR33) 1994; 14
Kaufmann (CR13) 1975
March, Simon (CR14) 1993
Seethalakshmi, Gnanajothi (CR29) 2014; 94
Sarwar, Akram, Zafar (CR27) 2018; 23
Abdulkadiroglu, Pathak, Roth, Sonmez (CR1) 2005; 95
Sarwar, Akram, Alshehri (CR28) 2018; 10
Mendelsohn, Dulmage (CR17) 1958; 10
Nagoor Gani, Basheer Ahamed (CR20) 2003; 22E
Radha, Kumaravel (CR21) 2014; 5
Shen, Tsai (CR30) 1958; 34
Sarwar, Akram (CR25) 2017; 13
Akram, Sattar (CR3) 2020; 63
Hyde, Jappinen, Theorell, Oxenstierna (CR12) 2006; 63
CR22
Sarwar, Akram (CR26) 2018; 34
Gale, Shapley (CR9) 1962; 69
Somasundaram, Somasundaram (CR31) 1998; 19
Huan, Yazdanifard (CR11) 2012; 1
Borzooei, Rashmanlou (CR7) 2015; 7
S Mathew (1463_CR16) 2018
A Rosenfeld (1463_CR23) 1975
M Sarwar (1463_CR28) 2018; 10
M Hyde (1463_CR12) 2006; 63
M Sarwar (1463_CR27) 2018; 23
1463_CR10
LJ Huan (1463_CR11) 2012; 1
1463_CR32
K Radha (1463_CR21) 2014; 5
MA Malik (1463_CR15) 2016; 27
RA Borzooei (1463_CR7) 2015; 7
M Wattenhofer (1463_CR34) 2014
A Nagoor Gani (1463_CR20) 2003; 22E
M Sarwar (1463_CR25) 2017; 13
M Akram (1463_CR3) 2020; 63
M Akram (1463_CR4) 2019; 16
CC Shen (1463_CR30) 1958; 34
JA Bondy (1463_CR6) 1976
M Sarwar (1463_CR26) 2018; 34
R Seethalakshmi (1463_CR29) 2014; 94
A Somasundaram (1463_CR31) 1998; 19
1463_CR19
RA Borzooei (1463_CR8) 2016; 30
A Kaufmann (1463_CR13) 1975
1463_CR22
M Sarwar (1463_CR24) 2020; 38
A Abdulkadiroglu (1463_CR1) 2005; 95
JG March (1463_CR14) 1993
VV Vazirani (1463_CR33) 1994; 14
N Biggs (1463_CR5) 1974
R Mohan (1463_CR18) 2011; 1
J Akaiyama (1463_CR2) 1988
NS Mendelsohn (1463_CR17) 1958; 10
D Gale (1463_CR9) 1962; 69
References_xml – ident: CR22
– volume: 38
  start-page: 1997
  issue: 2
  year: 2020
  end-page: 2008
  ident: CR24
  article-title: Double dominating energy of m-polar fuzzy graphs
  publication-title: J. Intell. Fuzzy Syst.
  doi: 10.3233/JIFS-190621
  contributor:
    fullname: Ali
– volume: 95
  start-page: 368
  year: 2005
  end-page: 371
  ident: CR1
  article-title: The Boston public school match
  publication-title: Am. Econ. Rev.
  doi: 10.1257/000282805774669637
  contributor:
    fullname: Sonmez
– year: 2018
  ident: CR16
  publication-title: Fuzzy Graph Theory
  doi: 10.1007/978-3-319-71407-3
  contributor:
    fullname: Malik
– volume: 10
  start-page: 404
  issue: 9
  year: 2018
  ident: CR28
  article-title: A new method to decision-making with fuzzy competition hypergraphs
  publication-title: Symmetry
  doi: 10.3390/sym10090404
  contributor:
    fullname: Alshehri
– volume: 10
  start-page: 230
  year: 1958
  end-page: 241
  ident: CR17
  article-title: Some generalizations of the problem of distinct representatives
  publication-title: Can. J. Math.
  doi: 10.4153/CJM-1958-027-8
  contributor:
    fullname: Dulmage
– year: 1974
  ident: CR5
  publication-title: Algebraic Graph Theory
  doi: 10.1017/CBO9780511608704
  contributor:
    fullname: Biggs
– ident: CR10
– volume: 63
  start-page: 2218
  issue: 8
  year: 2006
  end-page: 2227
  ident: CR12
  article-title: Workplace conflict resolution and the health of employees in the Swedish and Finnish units of an industrial company
  publication-title: Soc. Sci. Med.
  doi: 10.1016/j.socscimed.2006.05.002
  contributor:
    fullname: Oxenstierna
– volume: 22E
  start-page: 145
  issue: 1
  year: 2003
  end-page: 148
  ident: CR20
  article-title: Order and size in fuzzy graph
  publication-title: Bull. Pure Appl. Sci.
  contributor:
    fullname: Basheer Ahamed
– start-page: 77
  year: 1975
  end-page: 95
  ident: CR23
  publication-title: Fuzzy Graphs, Fuzzy Sets and Their Applications to Cognitive and Decision Processes
  doi: 10.1016/B978-0-12-775260-0.50008-6
  contributor:
    fullname: Rosenfeld
– volume: 19
  start-page: 787
  year: 1998
  end-page: 791
  ident: CR31
  article-title: Domination in fuzzy graphs
  publication-title: Pattern Recogn. Lett.
  doi: 10.1016/S0167-8655(98)00064-6
  contributor:
    fullname: Somasundaram
– ident: CR19
– volume: 30
  start-page: 3645
  issue: 6
  year: 2016
  end-page: 3652
  ident: CR8
  article-title: Semi global domination sets in vague graphs with application
  publication-title: J. Intell. Fuzzy Syst.
  doi: 10.3233/IFS-162110
  contributor:
    fullname: Rashmanlou
– volume: 69
  start-page: 9
  year: 1962
  end-page: 15
  ident: CR9
  article-title: College admissions and stability of marriage
  publication-title: Am. Math. Mon.
  doi: 10.1080/00029890.1962.11989827
  contributor:
    fullname: Shapley
– volume: 27
  start-page: 229
  year: 2016
  end-page: 238
  ident: CR15
  article-title: On the metric dimension of two families of convex polytopes
  publication-title: Afr. Math.
  doi: 10.1007/s13370-015-0336-5
  contributor:
    fullname: Sarwar
– volume: 1
  start-page: 105
  issue: 6
  year: 2011
  end-page: 118
  ident: CR18
  article-title: Graph matching algorithm for task assignment problem
  publication-title: Int. J. Comput. Sci. Eng. Appl.
  contributor:
    fullname: Gupta
– volume: 7
  start-page: 16
  issue: 1
  year: 2015
  end-page: 31
  ident: CR7
  article-title: Ring sum in product intuitionistic fuzzy graphs
  publication-title: J. Adv. Res. Pure Math.
  doi: 10.5373/jarpm.1971.021614
  contributor:
    fullname: Rashmanlou
– volume: 23
  start-page: 1
  issue: 4
  year: 2018
  end-page: 17
  ident: CR27
  article-title: Decision making approach based on competition graphs and extended TOPSIS method under bipolar fuzzy environment
  publication-title: Math. Comput. Appl.
  contributor:
    fullname: Zafar
– volume: 94
  start-page: 155
  issue: 20
  year: 2014
  end-page: 161
  ident: CR29
  article-title: A note on perfect fuzzy matching
  publication-title: Int. J. Pure Appl. Math.
  contributor:
    fullname: Gnanajothi
– year: 2014
  ident: CR34
  article-title: Distributed weighted matching
  publication-title: Distributed Computing. DISC 2004
  contributor:
    fullname: Guerraoui
– volume: 1
  start-page: 141
  issue: 1
  year: 2012
  end-page: 155
  ident: CR11
  article-title: The difference of conflict management styles and conflict resolution in workplace
  publication-title: Bus. Entrep. J.
  contributor:
    fullname: Yazdanifard
– year: 1988
  ident: CR2
  publication-title: Graph Theory and Applications
  contributor:
    fullname: Enomoto
– volume: 13
  start-page: 261
  issue: 3
  year: 2017
  end-page: 287
  ident: CR25
  article-title: Novel applications of m-Polar fuzzy concept lattice
  publication-title: New Math. Nat. Comput.
  doi: 10.1142/S1793005717400105
  contributor:
    fullname: Akram
– ident: CR32
– volume: 63
  start-page: 543
  year: 2020
  end-page: 583
  ident: CR3
  article-title: Competition graphs under complex Pythagorean fuzzy information
  publication-title: J. Appl. Math. Comput.
  doi: 10.1007/s12190-020-01329-4
  contributor:
    fullname: Sattar
– volume: 34
  start-page: 197
  issue: 3
  year: 1958
  end-page: 203
  ident: CR30
  article-title: A graph matching approach to optimal task assignment in distributed computing systems using a minimax criterion
  publication-title: IEEE Trans. Comput.
  contributor:
    fullname: Tsai
– year: 1975
  ident: CR13
  publication-title: Introduction a la Theorie des Sous-Ensembles Flous
  contributor:
    fullname: Kaufmann
– volume: 34
  start-page: 547
  issue: 1
  year: 2018
  end-page: 558
  ident: CR26
  article-title: Bipolar fuzzy circuits with applications
  publication-title: J. Intell. Fuzzy Syst.
  doi: 10.3233/JIFS-17758
  contributor:
    fullname: Akram
– year: 1976
  ident: CR6
  publication-title: Graph Theory with Applications
  doi: 10.1007/978-1-349-03521-2
  contributor:
    fullname: Murty
– volume: 14
  start-page: 71
  issue: 1
  year: 1994
  end-page: 109
  ident: CR33
  article-title: A theory of alternating paths and blossoms for proving correctness of the general graph maximum matching algorithm
  publication-title: Combinatorica
  doi: 10.1007/BF01305952
  contributor:
    fullname: Vazirani
– year: 1993
  ident: CR14
  publication-title: Organizations
  contributor:
    fullname: Simon
– volume: 5
  start-page: 100
  issue: 9
  year: 2014
  end-page: 111
  ident: CR21
  article-title: On edge regular fuzzy graphs
  publication-title: IJMA
  contributor:
    fullname: Kumaravel
– volume: 16
  start-page: 219
  year: 2019
  end-page: 234
  ident: CR4
  article-title: Energy of double dominating bipolar fuzzy graphs
  publication-title: J. Appl. Math. Comput.
  doi: 10.1007/s12190-019-01248-z
  contributor:
    fullname: Davvaz
– volume: 34
  start-page: 197
  issue: 3
  year: 1958
  ident: 1463_CR30
  publication-title: IEEE Trans. Comput.
  contributor:
    fullname: CC Shen
– volume: 63
  start-page: 543
  year: 2020
  ident: 1463_CR3
  publication-title: J. Appl. Math. Comput.
  doi: 10.1007/s12190-020-01329-4
  contributor:
    fullname: M Akram
– volume: 10
  start-page: 404
  issue: 9
  year: 2018
  ident: 1463_CR28
  publication-title: Symmetry
  doi: 10.3390/sym10090404
  contributor:
    fullname: M Sarwar
– volume: 30
  start-page: 3645
  issue: 6
  year: 2016
  ident: 1463_CR8
  publication-title: J. Intell. Fuzzy Syst.
  doi: 10.3233/IFS-162110
  contributor:
    fullname: RA Borzooei
– volume-title: Introduction a la Theorie des Sous-Ensembles Flous
  year: 1975
  ident: 1463_CR13
  contributor:
    fullname: A Kaufmann
– volume: 94
  start-page: 155
  issue: 20
  year: 2014
  ident: 1463_CR29
  publication-title: Int. J. Pure Appl. Math.
  contributor:
    fullname: R Seethalakshmi
– volume: 23
  start-page: 1
  issue: 4
  year: 2018
  ident: 1463_CR27
  publication-title: Math. Comput. Appl.
  contributor:
    fullname: M Sarwar
– volume: 14
  start-page: 71
  issue: 1
  year: 1994
  ident: 1463_CR33
  publication-title: Combinatorica
  doi: 10.1007/BF01305952
  contributor:
    fullname: VV Vazirani
– volume: 95
  start-page: 368
  year: 2005
  ident: 1463_CR1
  publication-title: Am. Econ. Rev.
  doi: 10.1257/000282805774669637
  contributor:
    fullname: A Abdulkadiroglu
– volume: 1
  start-page: 141
  issue: 1
  year: 2012
  ident: 1463_CR11
  publication-title: Bus. Entrep. J.
  contributor:
    fullname: LJ Huan
– volume-title: Organizations
  year: 1993
  ident: 1463_CR14
  contributor:
    fullname: JG March
– volume: 34
  start-page: 547
  issue: 1
  year: 2018
  ident: 1463_CR26
  publication-title: J. Intell. Fuzzy Syst.
  doi: 10.3233/JIFS-17758
  contributor:
    fullname: M Sarwar
– volume: 10
  start-page: 230
  year: 1958
  ident: 1463_CR17
  publication-title: Can. J. Math.
  doi: 10.4153/CJM-1958-027-8
  contributor:
    fullname: NS Mendelsohn
– volume: 22E
  start-page: 145
  issue: 1
  year: 2003
  ident: 1463_CR20
  publication-title: Bull. Pure Appl. Sci.
  contributor:
    fullname: A Nagoor Gani
– ident: 1463_CR19
  doi: 10.1145/28395.383347
– volume: 19
  start-page: 787
  year: 1998
  ident: 1463_CR31
  publication-title: Pattern Recogn. Lett.
  doi: 10.1016/S0167-8655(98)00064-6
  contributor:
    fullname: A Somasundaram
– ident: 1463_CR32
  doi: 10.1007/3-540-13345-3_42
– volume: 1
  start-page: 105
  issue: 6
  year: 2011
  ident: 1463_CR18
  publication-title: Int. J. Comput. Sci. Eng. Appl.
  contributor:
    fullname: R Mohan
– volume: 69
  start-page: 9
  year: 1962
  ident: 1463_CR9
  publication-title: Am. Math. Mon.
  doi: 10.1080/00029890.1962.11989827
  contributor:
    fullname: D Gale
– volume: 38
  start-page: 1997
  issue: 2
  year: 2020
  ident: 1463_CR24
  publication-title: J. Intell. Fuzzy Syst.
  doi: 10.3233/JIFS-190621
  contributor:
    fullname: M Sarwar
– volume-title: Distributed Computing. DISC 2004
  year: 2014
  ident: 1463_CR34
  contributor:
    fullname: M Wattenhofer
– volume-title: Algebraic Graph Theory
  year: 1974
  ident: 1463_CR5
  doi: 10.1017/CBO9780511608704
  contributor:
    fullname: N Biggs
– volume-title: Fuzzy Graph Theory
  year: 2018
  ident: 1463_CR16
  doi: 10.1007/978-3-319-71407-3
  contributor:
    fullname: S Mathew
– volume: 7
  start-page: 16
  issue: 1
  year: 2015
  ident: 1463_CR7
  publication-title: J. Adv. Res. Pure Math.
  doi: 10.5373/jarpm.1971.021614
  contributor:
    fullname: RA Borzooei
– ident: 1463_CR10
– volume: 13
  start-page: 261
  issue: 3
  year: 2017
  ident: 1463_CR25
  publication-title: New Math. Nat. Comput.
  doi: 10.1142/S1793005717400105
  contributor:
    fullname: M Sarwar
– volume: 27
  start-page: 229
  year: 2016
  ident: 1463_CR15
  publication-title: Afr. Math.
  doi: 10.1007/s13370-015-0336-5
  contributor:
    fullname: MA Malik
– volume: 5
  start-page: 100
  issue: 9
  year: 2014
  ident: 1463_CR21
  publication-title: IJMA
  contributor:
    fullname: K Radha
– volume: 16
  start-page: 219
  year: 2019
  ident: 1463_CR4
  publication-title: J. Appl. Math. Comput.
  doi: 10.1007/s12190-019-01248-z
  contributor:
    fullname: M Akram
– volume: 63
  start-page: 2218
  issue: 8
  year: 2006
  ident: 1463_CR12
  publication-title: Soc. Sci. Med.
  doi: 10.1016/j.socscimed.2006.05.002
  contributor:
    fullname: M Hyde
– ident: 1463_CR22
– start-page: 77
  volume-title: Fuzzy Graphs, Fuzzy Sets and Their Applications to Cognitive and Decision Processes
  year: 1975
  ident: 1463_CR23
  doi: 10.1016/B978-0-12-775260-0.50008-6
  contributor:
    fullname: A Rosenfeld
– volume-title: Graph Theory with Applications
  year: 1976
  ident: 1463_CR6
  doi: 10.1007/978-1-349-03521-2
  contributor:
    fullname: JA Bondy
– volume-title: Graph Theory and Applications
  year: 1988
  ident: 1463_CR2
  contributor:
    fullname: J Akaiyama
SSID ssj0067909
Score 2.280873
Snippet The present study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Publisher
StartPage 1
SubjectTerms Algorithms
Apexes
Applied mathematics
Computational Mathematics and Numerical Analysis
Graph matching
Graph theory
Graphs
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Optimization
Optimization algorithms
Original Research
Theory of Computation
Title Matching numbers in fuzzy graphs
URI https://link.springer.com/article/10.1007/s12190-020-01463-z
https://www.proquest.com/docview/2571081827
Volume 67
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5Bu8CAeIryqDywgaXYznNsUUsFohOVymT5KbEERNqB_HpsNyECwcAURbGs5Hznu9jf9xngSms3sMY5L81zjWMpFZaCEJwUilIivL5KAMjO09kivl8my47HHcDu7Y5kmKg7rhv1rGf_t-P1Thiut6GfeDk058QLOmqn3zQrAq7DpWlPKUqThinzex_fs1FXYv7YFQ3JZroPe02ViEabYT2ALVMewu7jl8RqdQTI3QUcJNoc6lGhlxLZdV1_oCBCXR3DYjp5up3h5rgDrFwcrLBx70QLIRSTxsaFZUwmkSVpInUkpXXBVzBCbKqNobkpmM6V0GnGtGtEDRXsBHrla2lOAZnYEkNsJGNrYlIoV3NooTKqIkP9UtoArtvP5m8bVQve6Rd7I3FnJB6MxOsBXLSW4Y2HV9yFOvFyeDQbwE1rre7x372d_a_5OexQDyMJqx4X0Fu9r82lqwNWcgj90XQ8nvvr3fPDZBj84BNnm6uq
link.rule.ids 315,783,787,27936,27937,41093,41535,42162,42604,52123,52246
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5BGYAB8RTl6YENIsV2Xh4rRFWg7dRK3Sw_JZaASDuQX4_tJkQgGBijWJbz-c53se_7DHCjtZtY44yXFIWOEilVJAXGUcoUIVh4fZVQIDvNRvPkaZEuGlJY1Va7t0eSYaXuyG7E0579744XPKFRvQlbXl_dK-bPyaBdf7OchcIOF6c9pyhLG6rM7318D0ddjvnjWDREm-E-7DVpIhqs5_UANkx5CLuTL43V6giQewqFkGh9q0eFXkpkV3X9gYIKdXUM8-HD7H4UNfcdRMo5wjIybkyECaGoNDZhllKZxhZnqdSxlNZ5H6MY20wbQwrDqC6U0FlOtWtEDBH0BHrla2lOAZnEYoNtLBNrEsyUSzq0UDlRsSF-L60Pt-1n87e1rAXvBIw9SNyBxANIvO7DRYsMb0y84s7XsdfDI3kf7lq0utd_93b2v-bXsD2aTcZ8_Dh9Pocd4mtKwhbIBfSW7ytz6ZKCpbwKNvAJ20Or9Q
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwED5BKyEYeCMKBTKwQUps5zlW0FIoVAxUKpMVvySEFCqSDuTXY-dBoYIBMUaxnNzlzr7Y3_cZ4FQI_WGlDl4chsJ2GeM2ixGyvYhjjGKjr1IAZEf-YOzeTrzJFxZ_gXavtyRLToNRaUqyi6lQF3PiGzYUaPPrY8RPiJ0vQ9M1ykgNaHavn4a9ejT2g6iAeehZ2zCMfK8izvzcy_fJaV5xLmySFnNPfwPi-q1LyMlLZ5axDs8XBB3_Y9YmrFeFqdUtI2kLlmSyDWv3n6qu6Q5Y-qqAXlrlOSKp9ZxYapbn71ahe53uwrjfe7wc2NUJCzbXqZfZUj8GR3HMCZPKjRQhzHMU8j0mHMaUzveIIKR8ISUOZUREyGPhB0ToRljimOxBI3lN5D5Y0lVIIuUwV0kXRVyXOSLmAeaOxGb1rgVntWvptBTSoHPJZGM31XbTwm6at6Bde59WSZVSPbogo8CHgxac186c3_69t4O_NT-BlYerPr27GQ0PYRUbEEux5tKGRvY2k0e6CsnYcRVoH2Cc0gg
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Matching+numbers+in+fuzzy+graphs&rft.jtitle=Journal+of+applied+mathematics+%26+computing&rft.au=Khalili%2C+M&rft.au=Borzooei%2C+R+A&rft.au=Deldar%2C+M&rft.date=2021-01-01&rft.pub=Springer+Nature+B.V&rft.issn=1598-5865&rft.eissn=1865-2085&rft.volume=67&rft.issue=1-2&rft.spage=1&rft.epage=22&rft_id=info:doi/10.1007%2Fs12190-020-01463-z&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1598-5865&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1598-5865&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1598-5865&client=summon