A result on decompositions of regular graphs, Discrete Mathematics 105 (1992) 323-326. We prove that for any connected graph G and any integer r which is a common multiple of the degrees of the vertices in G, there exists a connected, r-regular, and G-decomposable graph H such that x(H) = x(G) and o
✦ LIBER ✦
On a matroid defined by ear-decompositions of graphs
✍ Scribed by Zoltán Szigeti
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 486 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0209-9683
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## Abstract In the study of decompositions of graphs into paths and cycles, the following questions have arisen: Is it true that every graph __G__ has a smallest path (resp. path‐cycle) decomposition __P__ such that every odd vertex of __G__ is the endpoint of exactly one path of __P__? This note g