Title
Partitioning a graph into monochromatic connected subgraphs
Abstract
We show that every 2-edge-colored graph on n vertices with minimum degree at least 2n - 53 can be partitioned into two monochromatic connected subgraphs, provided n is sufficiently large. This minimum degree condition is tight and the result proves a conjecture of Bal and DeBiasio. We also make progress on another conjecture of Bal and DeBiasio on covering graphs with large minimum degree with monochromatic components of distinct colors.
Year
DOI
Venue
2019
10.1002/jgt.22435
JOURNAL OF GRAPH THEORY
Keywords
DocType
Volume
covering,edge colorings,monochromatic connected subgraphs,partitioning
Journal
91
Issue
ISSN
Citations 
4
0364-9024
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
António Girão113.07
Shoham Letzter257.28
J. Sahasrabudhe332.79