๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Total Colorings of Graphs

โœ Scribed by C. Mcdiarmid; B. Reed

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
299 KB
Volume
57
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.

โœฆ Synopsis

AND
Bruce Reed

Department of Combinatorics and Optimisation, University of Waterloo, Waterloo, Ontario, Canada

๐Ÿ“œ SIMILAR VOLUMES

On total 9-coloring planar graphs of max
On total 9-coloring planar graphs of maximum degree seven
โœ Sanders, Daniel P.; Zhao, Yue ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 202 KB ๐Ÿ‘ 3 views

Given a graph G, a total k-coloring of G is a simultaneous coloring of the vertices and edges of G with at most k colors. If โˆ†(G) is the maximum degree of G, then no graph has a total โˆ†-coloring, but Vizing conjectured that every graph has a total (โˆ† + 2)-coloring. This Total Coloring Conjecture rem

Totally symmetric colored graphs
Totally symmetric colored graphs
โœ Mariusz Grech; Andrzej Kisielewicz ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 177 KB

## Abstract In this paper we describe almost all edgeโ€colored complete graphs that are fully symmetric with respect to colors and transitive on every set of edges of the same color. This generalizes the recent description of selfโ€complementary symmetric graphs by Peisert and gives examples of permu

Total colorings of planar graphs with la
Total colorings of planar graphs with large maximum degree
โœ Borodin, O. V.; Kostochka, A. V.; Woodall, D. R. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 97 KB ๐Ÿ‘ 3 views

It is proved that a planar graph with maximum degree โˆ† โ‰ฅ 11 has total (vertex-edge) chromatic number โˆ† + 1.

On splittable colorings of graphs and hy
On splittable colorings of graphs and hypergraphs
โœ Zoltรกn Fรผredi; Radhika Ramamurthi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 109 KB

## Abstract The notion of a split coloring of a complete graph was introduced by Erdล‘s and Gyรกrfรกs [7] as a generalization of split graphs. In this work, we offer an alternate interpretation by comparing such a coloring to the classical Ramsey coloring problem via a twoโ€round game played against an

Investigation on Interval Edge-Colorings
Investigation on Interval Edge-Colorings of Graphs
โœ A.S. Asratian; R.R. Kamalian ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 380 KB

An edge-coloring of a simple graph \(G\) with colors \(1,2, \ldots, t\) is called an interval \(t\)-coloring [3] if at least one edge of \(G\) is colored by color \(i, i=1, \ldots, t\) and the edges incident with each vertex \(x\) are colored by \(d_{G}(x)\) consecutive colors, where \(d_{G}(x)\) is