A NOTE ON LINE GRAPHS
Clicks: 257
ID: 46032
2017
Article Quality & Performance Metrics
Overall Quality
Improving Quality
0.0
/100
Combines engagement data with AI-assessed academic quality
Reader Engagement
Star Article
74.3
/100
247 views
203 readers
Trending
AI Quality Assessment
Not analyzed
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 | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.