๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Optimal strong parity edge-coloring of complete graphs

โœ Scribed by David P. Bunde; Kevin Milans; Douglas B. West; Hehui Wu


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
434 KB
Volume
28
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Adjacent strong edge coloring of graphs
โœ Zhongfu Zhang; Linzhong Liu; Jianfang Wang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

For a graph G(V, E), if a proper k-edge coloring f is satisfied with C(u) # C(V) for UZ) E E(G), where C(u) = {f(~v) 1 UZI E E}, then f is called k-adjacent strong edge coloring of G. is abbreviated k-ASEC, and xbs(G) = min{k 1 k-ASEC of G} is called the adjacent strong edge chromatic number of G. I

Optimal edge coloring of large graphs
โœ G๏ฟฝmez, J.; Escudero, M. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 95 KB ๐Ÿ‘ 3 views

Most of the general families of large considered graphs in the context of the so-called (โŒฌ, D) problem-that is, how to obtain graphs with maximum order, given their maximum degree โŒฌ and their diameter D-known up to now for any value of โŒฌ and D, are obtained as product graphs, compound graphs, and ge

Strong edge colorings of graphs
โœ Odile Favaron; Hao Li; R.H. Schelp ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 349 KB

Let x'(G), called the strong coloring number of G, denote the minimum number of colors for which there is a proper edge coloring of a graph G in which no two of its vertices is incident to edges colored with the same set of colors. It is shown that Z'~(G) ~< Fcn], ยฝ < c ~ 1, whenever A(G) is appropr

Optimal acyclic edge-coloring of cubic g
โœ Lars Dรธvling Andersen; Edita Mรกฤajovรก;; Jรกn Mazรกk ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 194 KB

An __acyclic edgeโ€coloring__ of a graph is a proper edgeโ€coloring such that the subgraph induced by the edges of any two colors is acyclic. The __acyclic chromatic index__ of a graph __G__ is the smallest number of colors in an acyclic edgeโ€coloring of __G__. We prove that the acyclic chromatic inde

Decompositions of Edge-Colored Complete
โœ Esther R. Lamken; Richard M. Wilson ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 538 KB

We prove an asymptotic existence theorem for decompositions of edge-colored complete graphs into prespecified edge-colored subgraphs. Many combinatorial design problems fall within this framework. Applications of our main theorem require calculations involving the numbers of edges of each color and

Incidence and strong edge colorings of g
โœ Richard A. Brualdi; Jennifer J. Quinn Massey ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 485 KB

We define the incidence coloring number of a graph and bound it in terms of the maximum degree. The incidence coloring number turns out to be the strong chromatic index of an associated bipartite graph. We improve a bound for the strong chromatic index of bipartite graphs all of whose cycle lengths