A hypergraph is totally balanced if every non-trivial cycle has an edge containing at least three vertices of the cycle. Totally balanced hypergraphs are characterized here as special tree-hypergraphs. This approach provides a conceptually simpler proof of Anstee's related result and yields the stru
On a class of balanced hypergraphs
✍ Scribed by András Frank
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 986 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Let P be nn arborcscencc, and let F, = {U,, , I/, ). F, = { \y,, . . , V, } bc two systems consisting of directed s&paths of P. MIntmax theorems and algorithms UC proved concerning the so called bi-pcrth system (P; F,,. F, ). One can define a hypqraph to every hi-path system. The class of t hcsc "Ri -p&a " hypergraphs is closed under forminp of dual, sub and partial hypergaph. Every hi-path hypergraph is balanced but not ncces%arily unimtdulur.
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