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Directed graphs with unique paths of fixed length

โœ Scribed by C.W.H Lam; J.H van Lint


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
298 KB
Volume
24
Category
Article
ISSN
0095-8956

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## Abstract We prove that a 171โ€edgeโ€connected graph has an edgeโ€decomposition into paths of length 3 if and only its size is divisible by 3. It is a longโ€standing problem whether 2โ€edgeโ€connectedness is sufficient for planar triangleโ€free graphs, and whether 3โ€edgeโ€connectedness suffices for graph