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Identifying path covers in graphs

✍ Scribed by Foucaud, Florent; Kovše, Matjaž


Book ID
121929386
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
417 KB
Volume
23
Category
Article
ISSN
1570-8667

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📜 SIMILAR VOLUMES


Path covers of weighted graphs
✍ Genghua Fan 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 318 KB

Let (G, w ) denote a simple graph G with a weight function w : €(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
✍ J. A. Bondy 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 513 KB

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

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✍ Karen Seyffarth 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 817 KB

Seyffarth, K., Packings and perfect path double covers of maximal planar graphs, Discrete Mathematics 117 (1993) 1833195. A maximal planar graph is a simple planar graph in which every face is a triangle, and a perfect packing of such a graph by 2-cliques and facial triangles corresponds to a parti