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Coverings and matchings of the vertices of a graph by the edges

✍ Scribed by G.Ts. Akopyan


Publisher
Elsevier Science
Year
1974
Weight
706 KB
Volume
14
Category
Article
ISSN
0041-5553

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πŸ“œ SIMILAR VOLUMES


Matching and covering the vertices of a
✍ Andrzej RuciΕ„ski πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 747 KB

## Rucidski, A., Matching and covering the vertices of a random graph by copies of a given graph, Discrete Mathematics 105 (1992) 185-197. In this paper we partially answer the question: how slowly must p(n) converge to 0 so that a random graph K(n, p) has property PM, almost surely, where PM, me

Covering the Edges of a Connected Graph
✍ L. Pyber πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 316 KB

We prove that every connected graph on n vertices can be covered by at most nΓ‚2+O(n 3Γ‚4 ) paths. This implies that a weak version of a well-known conjecture of Gallai is asymptotically true.

Path coverings of the vertices of a tree
✍ Peter J. Slater πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 840 KB

Consider a collection of disjoint paths in graph G such that every vertex is on one of these paths. The size of the smallest such collection is denoted i(G). A procedure for forming such collections is established. Restricting attention to trees, the range of values for the sizes of the collections

Covering the vertices of a graph by cycl
✍ D. Amar; I. Fournier; A. Germa πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 321 KB

The main theorem of that paper is the following: let G be a graph of order n, of size at least (nZ -3n + 6 ) / 2 . For any integers k, n,, n2,. . . , nk such that n = n, + n2 + ... + nk and n, 2 3, there exists a covering of the vertices of G by disjoint cycles (C,),=,..,k with ICjl = n,, except whe

Covering the cliques of a graph with ver
✍ Paul ErdΕ‘s; Tibor Gallai; Zsolt Tuza πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 681 KB

The following problem is investigated. Given an undirected graph G, determine the smallest cardinality of a vertex set that meets all complete subgraphs KC G maximal under inclusion.