𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Path Decomposition of Graphs with Given Path Length

✍ Scribed by Ming-qing Zhai; Chang-hong Lü


Book ID
106301184
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
149 KB
Volume
22
Category
Article
ISSN
0168-9673

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Decompositions of highly connected graph
✍ Carsten Thomassen 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 101 KB 👁 1 views

## Abstract We prove that a 171‐edge‐connected graph has an edge‐decomposition into paths of length 3 if and only its size is divisible by 3. It is a long‐standing problem whether 2‐edge‐connectedness is sufficient for planar triangle‐free graphs, and whether 3‐edge‐connectedness suffices for graph

Minimum path decompositions of oriented
✍ K. B. Reid; Keith Wayland 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 257 KB 👁 1 views

Pullman [3] conjectured that if k is an odd positive integer, then every orientation of a regular graph of degree k has a minimum decomposition which contains no vertex which is both the initial vertex of some path in the decomposition and the terminal vertex of some other path in the decomposition

Regular path decompositions of odd regul
✍ Odile Favaron; François Genest; Mekkia Kouider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 197 KB

## Abstract Kotzig asked in 1979 what are necessary and sufficient conditions for a __d__‐regular simple graph to admit a decomposition into paths of length __d__ for odd __d__>3. For cubic graphs, the existence of a 1‐factor is both necessary and sufficient. Even more, each 1‐factor is extendable

Cycles and paths in edge-colored graphs
✍ A. Abouelaoualim,; K. Ch. Das; W. Fernandez de la Vega; M. Karpinski; Y. Manouss 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB 👁 1 views

## Abstract Sufficient degree conditions for the existence of properly edge‐colored cycles and paths in edge‐colored graphs, multigraphs and random graphs are investigated. In particular, we prove that an edge‐colored multigraph of order __n__ on at least three colors and with minimum colored degre