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m_Path Cover Saturated Graphs

โœ Scribed by Aneta Dudek; Gyula Y. Katona; A.Pawel Wojda


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
258 KB
Volume
13
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES


Path covers of weighted graphs
โœ Genghua Fan ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 318 KB

Let (G, w ) denote a simple graph G with a weight function w : โ‚ฌ(G) -{0,1,2}. A path cover of (G, w ) is a collection of paths in G such that every edge e is contained in exactly w(e) paths of the collection. For a vertex u , w ( v ) is the sum of the weights of the edges incident with U ; U is call

Perfect path double covers of graphs
โœ J. A. Bondy ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 513 KB

## Abstract A __perfect path double cover__ (PPDC) of a graph __G__ on __n__ vertices is a family ๐’ซ of __n__ paths of __G__ such that each edge of __G__ belongs to exactly two members of ๐’ซ and each vertex of __G__ occurs exactly twice as an end of a path of ๐’ซ. We propose and study the conjecture th

Optimal path cover problem on block grap
โœ Wong Pak-Ken ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 427 KB

Let G = (V,E) be a block graph. First we show that an algorithm for finding the path partition number p(G) by J.H. Yan and G.J. Chang gives wrong answers to some block graphs. Then we present an efficient algorithm for finding a minimum path partition of G (not just the path partition number p(G)).

Perfect path double covers in every simp
โœ Hao Li ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 229 KB

## Abstract We prove in this paper that every simple graph __G__ admits a perfect path double cover (PPDC), i.e., a set of paths of __G__ such that each edge of __G__ belongs to exactly two of the paths and each vertex of __G__ is an end of exactly two of the paths, where a path of length zero is c