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Exact arborescences, matchings and cycles

โœ Scribed by Francisco Barahona; William R Pulleyblank


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
531 KB
Volume
16
Category
Article
ISSN
0166-218X

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๐Ÿ“œ SIMILAR VOLUMES


Minimal complete matchings and negative
โœ R. L. Tobin ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 627 KB

## Abstract Conditions are developed which relate the existence of negative and nonpositive simple cycles in an undirected network to minimal complete matchings on a derived network. These conditions are then used to develop a test to determine whether or not an undirected network contains nonposit

Cycles containing matchings and pairwise
โœ Bill Jackson; Nicholas C. Wormald ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 535 KB

## Abstract Let __M__ be a matching in a graph __G__ such that __d__(x) + __d__(y) โ‰ฅ |__G__| for all pairs of independent vertices x and y of G that are incident with __M.__ We determine a necessary and sufficient condition for __M__ to be contained in a cycle of __G.__ This extends results of Hรคgg

On large matchings and cycles in sparse
โœ A.M Frieze ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 666 KB

Let k be a fixed positive integer. A graph H has property Mk if it contains [ยฝk] edge disjoint hamilton cycles plus a further edge disjoint matching which leaves at most one vertex isolated, if k is odd. Let p = c/n, where c is a large enough constant. We show that G,,p a.s. contains a vertex induce

Random Matchings Which Induce Hamilton C
โœ Jeong Han Kim; Nicholas C. Wormald ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

Select four perfect matchings of 2n vertices, independently at random. We find the asymptotic probability that each of the first and second matchings forms a Hamilton cycle with each of the third and fourth. This is generalised to embrace any fixed number of perfect matchings, where a prescribed set

A general and exact method for determini
โœ Z.J. Palmor; Y. Halevi; T. Efrati ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 769 KB

exact method for evaluating the periods and stability of limit cycles in decentralized relay systems is presented. The method can cope with relays having dead zones and hystereses. The underlying idea is to convert the continuous decentralized relay system under a limit cycle to an equivalent fictit