Results on soft graphs and soft multigraphs with application in controlling urban traffic flows

• Published in: Soft computing (Berlin, Germany) Vol. 27; no. 16; pp. 11155 - 11175
• Main Authors: Baghernejad, M., Borzooei, R. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2023; Springer Nature B.V
• Subjects: Apexes; Applied mathematics; Artificial Intelligence; Computational Intelligence; Control; Engineering; Fuzzy sets; Fuzzy Systems and Their Mathematics; Graph theory; Graphs; Mathematical Logic and Foundations; Mechatronics; Robotics; Traffic control; Traffic flow; Degree; Controlling urban traffic flows; Size; Soft multigraph; Adjacency matrix; Soft graph; Complement; Regularity

In this paper, first we introduce the notions of size, order, and degree of vertices and edges in a soft graph, and we give some examples for a better understanding of these concepts. Then, we define the fundamental concepts of the adjacency matrix of soft graphs, complement of soft graphs, and regu...