Title
Maximizing and minimizing the number of generalized colorings of trees.
Abstract
We classify the trees on n vertices with the maximum and the minimum number of certain generalized colorings, including conflict-free, odd, non-monochromatic, star, and star rainbow vertex colorings. We also extend a result of Cutler and Radcliffe on the maximum and minimum number of existence homomorphisms from a tree to a completely looped graph on q vertices.
Year
DOI
Venue
2019
10.1016/j.disc.2018.12.015
Discrete Mathematics
Keywords
Field
DocType
Vertex coloring,Extremal enumeration,Tree,Conflict-free coloring
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Homomorphism,Rainbow,Mathematics
Journal
Volume
Issue
ISSN
342
4
0012-365X
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
John Engbers1216.79
Christopher J. Stocker220.93