On Common Neighborhood Graphs II

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HAMZEH ASMA; IRANMANESH ALI; HOSSEINZADEH SAMANEH; HOSSEINZADEH MOHAMMAD ALI; GUTMAN IVAN

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Journal: Iranian Journal of Mathematical Chemistry Year:2018 | Volume:9 | Issue:1 Page(s): 37-46

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Title

On Common Neighborhood Graphs II

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Keywords

Common neighborhood graphQ1

CongraphQ1

Mycielski graphQ1

Shadow graphQ1

Hajós joinQ1

Abstract

Let G be a simple graph with vertex set V(G). The Common neighborhood graph or Congraph of G, denoted by con(G), is a graph with vertex set V(G), in which two vertices are adjacent if and only if they have at least one common neighbor in G. We compute the Congraphs of some composite graphs. Using these results, the Congraphs of several special graphs are determined.

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APA: Copy

HAMZEH, ASMA, IRANMANESH, ALI, HOSSEINZADEH, SAMANEH, HOSSEINZADEH, MOHAMMAD ALI, & GUTMAN, IVAN. (2018). On Common Neighborhood Graphs II. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 9(1 ), 37-46. SID. https://sid.ir/paper/205517/en

Vancouver: Copy

HAMZEH ASMA, IRANMANESH ALI, HOSSEINZADEH SAMANEH, HOSSEINZADEH MOHAMMAD ALI, GUTMAN IVAN. On Common Neighborhood Graphs II. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2018;9(1 ):37-46. Available from: https://sid.ir/paper/205517/en

IEEE: Copy

ASMA HAMZEH, ALI IRANMANESH, SAMANEH HOSSEINZADEH, MOHAMMAD ALI HOSSEINZADEH, and IVAN GUTMAN, “On Common Neighborhood Graphs II,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 9, no. 1 , pp. 37–46, 2018, [Online]. Available: https://sid.ir/paper/205517/en

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