Title
On the vertex partitions of sparse graphs into an independent vertex set and a forest with bounded maximum degree.
Abstract
Given a graph G=(V,E), if its vertex set V(G) can be partitioned into two non-empty subsets V1 and V2 such that G[V1] is edgeless and G[V2] is a graph with maximum degree at most k, then we say that G admits an (I, Δk)-partition. A similar definition can be given for the notation (I, Fk)-partition if G[V2] is a forest with maximum degree at most k.
Year
DOI
Venue
2018
10.1016/j.amc.2018.01.003
Applied Mathematics and Computation
Keywords
Field
DocType
Vertex partition,Maximum average degree,Forest,Girth
Graph,Combinatorics,Vertex (geometry),Mathematical analysis,Degree (graph theory),Vertex partition,Corollary,Mathematics,Planar graph,Bounded function
Journal
Volume
ISSN
Citations 
326
0096-3003
0
PageRank 
References 
Authors
0.34
2
3
Name
Order
Citations
PageRank
Min Chen17910.52
Weiqiang Yu200.34
Weifan Wang386889.92