A Study on the Inj-Equitable Graph of a Graph

Autor: Najat Muthana, Anwar Saleh, Ahmad N. Al-Kenani, Hanaa Alashwali
Rok vydání: 2018
Předmět:
Zdroj: Applied Mathematics. :264-273
ISSN: 2152-7393
2152-7385
DOI: 10.4236/am.2018.93020
Popis: For any graph G, the Inj-equitable graph of a graph G, denoted by IE (G) , is the graph with the same vertices as G and for any two adjacent vertices u and v in IE (G), ≤ 1, where for any vertex w∈V (G) , degin (w) = . In this paper, Inj-equitable graphs of some graphs are obtained, and some properties and results are established. Moreover, complete Inj-equitable graph and the Inj-equitable graph are defined.
Databáze: OpenAIRE