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A deletion game on hypergraphs

✍ Scribed by Aviezri S. Fraenkel; Edward R. Scheinerman


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
477 KB
Volume
30
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


On decomposing a hypergraph into k conne
✍ AndrΓ‘s Frank; TamΓ‘s KirΓ‘ly; Matthias Kriesell πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 159 KB

By applying the matroid partition theorem of J. Edmonds (J. Res. Nat. Bur. Standards Sect. B 69 (1965) 67) to a hypergraphic generalization of graphic matroids, due to Lorea (Cahiers Centre Etudes Rech. Oper. 17 (1975) 289), we obtain a generalization of Tutte's disjoint trees theorem for hypergraph

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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

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✍ B.D. Acharya πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 572 KB

## This note generalizes the notion of cyclomatic number (or cycle rank) from Graph Theory to Hypergraph Theory and links it up with the concept of planarity in hypergraphs which was recently introducea by R.P. Jones. Sharp bounds are obtained for the cyclomatic number of the planar hypergraphs an

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Receixed 10 October b)77 Revised 23 May lt-7S l.et bl bca t,,yperoraph and g a natural mmff-'cr. The sets <high can be wriiven as the .miot~ of t dilIere ~l edges of H fc, ml a ~ew hypergraph which is denoted by HL Let us suppose hint H has; 01e H( lly prope~ ty end we want to state something simila