Research Info

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Title
On Common Neighborhood Graphs II
Type Article
Keywords
Common neighborhood graph, Congraph Mycielski graph, Shadow graph, Hajós join
Abstract
Let G be a simple graph with vertex set ܸThe common neighborhood graph or congraph of ,ܩdenoted by ܿis a graph with vertex set ܸin which two vertices are adjacent if and only if they have at least one common neighbor in .ܩ We compute the congraphs of some composite graphs. Using these results, the congraphs of several special graphs are determined.
Researchers Asma Hamzeh (First researcher) , Ali Iranmanesh (Second researcher) , Samaneh Hossein-Zadeh (Third researcher) , Mohammad Ali Hosseinzadeh (Fourth researcher) , Ivan Gutman (Fifth researcher)