๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Entire Coloring of Series-Parallel Graphs

โœ Scribed by Jian-liang Wu; Yu-liang Wu


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
246 KB
Volume
21
Category
Article
ISSN
0168-9673

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Chromaticity of series-parallel graphs
โœ K.M. Koh; C.P. Teo ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 454 KB

By applying a sequence of edge-gluings on a set of cycles each of length k, we obtain a special series-parallel graph. The well-known k-gon tree theorem (see [l, lo]) states that these graphs form a X-equivalence class. Many of the other known classes of X-unique graphs and X-equivalence classes are

Structural theorem on plane graphs with
โœ Borodin, Oleg V. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 477 KB ๐Ÿ‘ 1 views

In 1973, Kronk and Mitchem (Discrete Math. (5) 255-260) conjectured that the vertices, edges and faces of each plane graph G may be colored with D(G) + 4 colors, where D(G) is the maximum degree of G, so that any two adjacent or incident elements receive distinct colors. They succeeded in verifying

Series-parallel subgraphs of planar grap
โœ Ehab S. Elmallah; Charles J. Colbourn ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 435 KB
The circular chromatic number of series-
โœ Hell, Pavol; Zhu, Xuding ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 238 KB ๐Ÿ‘ 2 views

In this article, we consider the circular chromatic number ฯ‡ c (G) of series-parallel graphs G. It is well known that series-parallel graphs have chromatic number at most 3. Hence, their circular chromatic numbers are at most 3. If a seriesparallel graph G contains a triangle, then both the chromati

Multi-coloring the Mycielskian of graphs
โœ Wensong Lin; Daphne Der-Fen Liu; Xuding Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 129 KB

## Abstract A __k__โ€fold coloring of a graph is a function that assigns to each vertex a set of __k__ colors, so that the color sets assigned to adjacent vertices are disjoint. The __k__th chromatic number of a graph __G__, denoted by ฯ‡~__k__~(__G__), is the minimum total number of colors used in a