✦ LIBER ✦

On the chromatic index of outerplanar graphs

✍ Scribed by Stanley Fiorini

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 245 KB
Volume: 18
Category: Article
ISSN: 0095-8956
DOI: 10.1016/0095-8956(75)90060-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Game chromatic number of outerplanar gra

Game chromatic number of outerplanar graphs

✍ Guan, D. J.; Zhu, Xuding 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 172 KB 👁 2 views

This note proves that the game chromatic number of an outerplanar graph is at most 7. This improves the previous known upper bound of the game chromatic number of outerplanar graphs.

The relaxed game chromatic number of out

The relaxed game chromatic number of outerplanar graphs

✍ Charles Dunn; Hal A. Kierstead 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB

## Abstract The (__r__,__d__)‐relaxed coloring game is played by two players, Alice and Bob, on a graph __G__ with a set of __r__ colors. The players take turns coloring uncolored vertices with legal colors. A color α is legal for an uncolored vertex __u__ if __u__ is adjacent to at most __d__ vert

Acyclic edge chromatic number of outerpl

Acyclic edge chromatic number of outerplanar graphs

✍ Jian-Feng Hou; Jian-Liang Wu; Gui-Zhen Liu; Bin Liu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB

## Abstract A proper edge coloring of a graph __G__ is called acyclic if there is no 2‐colored cycle in __G__. The acyclic edge chromatic number of __G__, denoted by χ(__G__), is the least number of colors in an acyclic edge coloring of __G__. In this paper, we determine completely the acyclic edge

On the colorings of outerplanar graphs

✍ Weifan Wang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 601 KB

On the oriented chromatic index of orien

On the oriented chromatic index of oriented graphs

✍ Pascal Ochem; Alexandre Pinlou; Éric Sopena 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 227 KB

## Abstract A homomorphism from an oriented graph __G__ to an oriented graph __H__ is a mapping $\varphi$ from the set of vertices of __G__ to the set of vertices of __H__ such that $\buildrel {\longrightarrow}\over {\varphi (u) \varphi (v)}$ is an arc in __H__ whenever $\buildrel {\longrightarrow}

The chromatic index of complete multipar

The chromatic index of complete multipartite graphs

✍ D. G. Hoffman; C. A. Rodger 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 266 KB

## Abstract We show that a complete multipartite graph is class one if and only if it is not eoverfull, thus determining its chromatic index.