A NOTE ON LINE GRAPHS

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ID: 46032
2017
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Abstract
The line graph and 1-quasitotal graph are well-known concepts in graph theory. In Satyanarayana, Srinivasulu, and Syam Prasad [13], it is proved that if a graph G consists of exactly m connected components Gi (1 ≤ i ≤ m) then L(G) = L(G1) and L(G1)is the ring sum of L(G2),..., L(Gm) where L(G) denotes the line graph of G. In [13], the authors also introduced the concept 1-quasitotal graph and obtained that Q1(G) is the ring sum of G and L(G) where Q1(G) denotes 1-quasitotal graph of a given graph G. In this note, we consider zero divisor graph of a nite associate ring R and we will prove that the line graph of Kn-1 contains the complete graph on n vertices where n is the number of elements in the ring R.
Reference Key
bhavanari2017atwms Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors BHAVANARI, S.;DEVANABOINA, S.;KUNCHAM, S. P.;
Journal twms journal of applied and engineering mathematics
Year 2017
DOI
DOI not found
URL
http://jaem.isikun.edu.tr/web/index.php/current/93-vol7no1/290-a-note-on-line-graphs
Keywords
Technology Science mathematics applied mathematics. quantitative methods

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