Title
Total Colorings of Graphs with Minimum Sum of Colors.
Abstract
The total chromatic sum of a graph is the minimum sum of colors (natural numbers) taken over all proper colorings of vertices and edges of a graph. We construct infinite families of graphs for which the minimum number of colors to achieve the total chromatic sum is larger than the total chromatic number.
Year
DOI
Venue
2016
10.1007/s00373-016-1720-0
Graphs and Combinatorics
Keywords
Field
DocType
Total coloring, Sum of colors, Total chromatic number
Edge coloring,Discrete mathematics,Natural number,Combinatorics,Total coloring,Fractional coloring,Vertex (geometry),Chromatic scale,Brooks' theorem,Greedy coloring,Mathematics
Journal
Volume
Issue
ISSN
32
6
1435-5914
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Ewa Kubicka1669.61
Grzegorz Kubicki29515.16
Maxfield Leidner310.69