Covering of Line Graph of Zero Divisor Graph over Ring Zn
Journal of Advances in Mathematics and Computer Science · pp. 728–734 · Published 9 Dec 2014
10.9734/BJMCS/2015/14436Abstract
Let Zn be the commutative ring of residue classes modulo n, Γ(Zn) the zero divisor graph of Zn and L(Γ(Zn) be the line graph of Γ(Zn). We have studied the point covering number and independence number of L(Γ(Zn)), for some positive integer n. We have computed edge covering number for L(Γ(Zpq), and establish the relation among point covering, independence number and edge covering number of L(Γ(Zpq), where p and q are prime numbers.
Cited by 2
Pradeep Singh, Vijay Kumar Bhat · Journal of Applied Mathematics and Computing · 2021
Showing 1 of 2 known citations — external sources report more than can currently be individually listed.
Related research
- Comparative Analysis of Empirical Formulae Used in Groundwater Recharge in Ogun – Oshun River Basins — shares topic coverage
- On the Restrained Cost Eective Sets of Some Special Classes of Graphs — shares topic coverage
- On the Pendant Number of Certain Graphs — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.