Title
On ve-degrees and ev-degrees in graphs.
Abstract
Abstract Let G = ( V , E ) be a graph with vertex set V and edge set E . A vertex v ∈ V v e -dominates every edge incident to it as well as every edge adjacent to these incident edges. The vertex–edge degree of a vertex v is the number of edges v e -dominated by v . Similarly, an edge e = u v e v -dominates the two vertices u and v incident to it, as well as every vertex adjacent to u or v . The edge–vertex degree of an edge e is the number of vertices e v -dominated by edge e . In this paper we introduce these types of degrees and study their properties.
Year
Venue
Field
2017
Discrete Mathematics
Discrete mathematics,Combinatorics,Bound graph,Vertex (geometry),Edge cover,Vertex (graph theory),Cycle graph,Neighbourhood (graph theory),Degree (graph theory),Mathematics,Saturation (graph theory)
DocType
Volume
Issue
Journal
340
2
Citations 
PageRank 
References 
1
0.37
1
Authors
4
Name
Order
Citations
PageRank
Mustapha Chellali118838.24
Teresa W. Haynes277494.22
Stephen T. Hedetniemi31575289.01
Thomas M. Lewis431.70