FIBONACCI RANGE LABELING ON DIRECT PRODUCT OF PATH AND CYCLES GRAPHS

The primary concept of direct product constitute from the idea of product graphs establish from Weichsel [13], where the direct product of two graphs is connected if and only if both are connected and are not bipartite. From Imrich and Klavzar [6], the direct product GxH of graphs G and H is the gra...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 3; p. 1015
Main Authors Odyuo, Aronthung S, Mercy, P, Patel, Manoj Kumar
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2024
Elman Hasanoglu
Subjects
Analysis
Apexes
Fibonacci numbers
Functional analysis
Graph theory
Graphs
Labeling
Mathematics
Methods
Vertex sets
India
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ISSN2146-1147
2146-1147

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Summary:The primary concept of direct product constitute from the idea of product graphs establish from Weichsel [13], where the direct product of two graphs is connected if and only if both are connected and are not bipartite. From Imrich and Klavzar [6], the direct product GxH of graphs G and H is the graph with the vertex set V(G) x V(H) and for which vertices (x,y) and (x',y') being adjacent in GxH [??] xx'[member of] E(H) and yy' [member of] E(G). Here, we characterize for direct product of graphs and prove on certain class of direct product of path and cycles graphs with Fibonacci range labeling. Keywords: Direct product, Fibonacci range labeling, Fibonacci range graph, golden ratio. AMS Subject Classification: (2020) Primary 05C78.
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ISSN:2146-1147
2146-1147