Title
Extremal H-colorings of trees and 2-connected graphs
Abstract
For graphs G and H, an H-coloring of G is an adjacency preserving map from the vertices of G to the vertices of H. H-colorings generalize such notions as independent sets and proper colorings in graphs. There has been much recent research on the extremal question of finding the graph(s) among a fixed family that maximize or minimize the number of H-colorings. In this paper, we prove several results in this area.
Year
DOI
Venue
2017
10.1016/j.jctb.2016.09.009
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Graph homomorphisms,H-coloring,Graph coloring,Widom–Rowlinson model,London–Hoffman inequality,2-connected graphs
Discrete mathematics,Combinatorics,Indifference graph,Chordal graph,Cograph,Greedy coloring,Pathwidth,1-planar graph,Pancyclic graph,Triangle-free graph,Mathematics
Journal
Volume
ISSN
Citations 
122
0095-8956
4
PageRank 
References 
Authors
0.56
2
2
Name
Order
Citations
PageRank
John Engbers1216.79
David Galvin25511.59