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Path decompositions and Gallai's conjecture

✍ Scribed by Genghua Fan


Book ID
108167373
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
198 KB
Volume
93
Category
Article
ISSN
0095-8956

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📜 SIMILAR VOLUMES


Path decompositions of multigraphs
✍ Leizhen Cai 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 494 KB

Let G be a loopless finite multigraph. For each vertex x of G, denote its degree and multiplicity by d(x) and p(x) respectively. Define the least even integer 2 p(x), if d(x) is even, the least odd integer 2 p(x), if d(x) is odd. In this paper it is shown that every multigraph G admits a faithful p

On the Berge's strong path partition con
✍ S. Sridharan 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 312 KB

Sridharan, S., On the Berge's strong path partition conjecture, Discrete Mathematics 112 (1993) 289-293. It is proved that for every k-optimal path partition of a digraph in which each component contains at most one cycle, there exists a partial k-coloring which colors strongly every path of the pa