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Systems of distinct representatives, II

✍ Scribed by Phillip A Ostrand


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
174 KB
Volume
32
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Extending partial systems of distinct re
✍ Peter HorΓ‘k πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 234 KB

Horiik, P., Extending partial systems of distinct representatives, Discrete Mathematics 91 (1991) 95-98. We determine a necessary and sufficient condition for a special class of families of sets to have the property that each partial SDR of cardinahty d can be extended to a total SDR. This result i

A note on generalization of distinct rep
✍ Feng-Shun Chai πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 211 KB

Agrawal (1966 Ann. Math. Statist. 37, 525-528) explored the concept of systems of distinct representatives to show that the treatments in a binary equireplicated incomplete block design can be rearranged within blocks such that the treatments occur as close to equally often as possible in every row.

Compatible systems of representatives
✍ Martin Kochol πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 691 KB

The main result of this paper can be quickly described as follows. Let G be a bipartite graph and assume that for any vertex v of G a strongly base orderable matroid is given on the set of edges adjacent with v. Call a subgraph of G a system of representatives of G if the edge neighborhood of each v

Simultaneous systems of representatives
✍ Melvyn B. Nathanson πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 660 KB

This paper applies a recent theorem about simultaneous systems of representatives for families of finite sets to obtain combinatorial results that are closely related to problems concerning minimal asymptotic bases in additive number theory.

Heights of representative systems
✍ Peter C. Fishburn πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 820 KB