THE COMMON NEIGHBORHOOD GRAPH AND ITS ENERGY

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ALWARDIA ANWAR; ARSIC BRANKO; GUTMAN IVAN; SONERA NANDAPPA D.

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ISSN: 2588-4824

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2012 | Volume:7 | Issue:2 Page(s): 1-8

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Title

THE COMMON NEIGHBORHOOD GRAPH AND ITS ENERGY

Author(s)

ALWARDIA ANWAR | ARSIC BRANKO | GUTMAN IVAN | SONERA NANDAPPA D. | Issue Writer Certificate

Keywords

COMMON NEIGHBORHOOD GRAPH

CONGRAPH

SPECTRUM (OF GRAPH)

ENERGY (OF GRAPH)

Abstract

Let G be a simple graph with vertex set {v1, v2, ..., vn}. The COMMON NEIGHBORHOOD GRAPH (congraph) of G, denoted by con (G), is the graph with vertex set {v1, v2, ..., vn}, in which two vertices are adjacent if and only they have at least one common neighbor in the graph G. The basic properties of con (G) and of its energy are established.

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APA: Copy

ALWARDIA, ANWAR, ARSIC, BRANKO, GUTMAN, IVAN, & SONERA, NANDAPPA D.. (2012). THE COMMON NEIGHBORHOOD GRAPH AND ITS ENERGY. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 7(2), 1-8. SID. https://sid.ir/paper/310342/en

Vancouver: Copy

ALWARDIA ANWAR, ARSIC BRANKO, GUTMAN IVAN, SONERA NANDAPPA D.. THE COMMON NEIGHBORHOOD GRAPH AND ITS ENERGY. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2012;7(2):1-8. Available from: https://sid.ir/paper/310342/en

IEEE: Copy

ANWAR ALWARDIA, BRANKO ARSIC, IVAN GUTMAN, and NANDAPPA D. SONERA, “THE COMMON NEIGHBORHOOD GRAPH AND ITS ENERGY,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 7, no. 2, pp. 1–8, 2012, [Online]. Available: https://sid.ir/paper/310342/en

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