𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Complementary Cycles of All Lengths in Tournaments

✍ Scribed by Z.M. Song


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
295 KB
Volume
57
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Bipartite graphs with cycles of all even
✍ Edward Schmeichel; John Mitchem πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 428 KB πŸ‘ 1 views

## Abstract Let __G__ = (__X, Y, E__) be a bipartite graph with __X__ = __Y__ = __n__. ChvΓ‘tal gave a condition on the vertex degrees of __X__ and __Y__ which implies that __G__ contains a Hamiltonian cycle. It is proved here that this condition also implies that __G__ contains cycles of every even

Lengths of cycles in halin graphs
✍ J. A. Bondy; L. LovΓ‘sz πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 436 KB πŸ‘ 1 views

A Halin graph is a plane graph H = T U C, where T is a plane tree with no vertex of degree t w o and at least one vertex of degree three or more, and C is a cycle connecting the endvertices of T in the cyclic order determined by the embedding of T We prove that such a graph on n vertices contains cy

Periods in missing lengths of rainbow cy
✍ Petr VojtΔ›chovskΓ½ πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 184 KB

## Abstract A cycle in an edge‐colored graph is said to be rainbow if no two of its edges have the same color. For a complete, infinite, edge‐colored graph __G__, define Then π”Š(__G__) is a monoid with respect to the operation __n__∘__m__=__n__+ __m__βˆ’2, and thus there is a least positive integer Ο€

On the existence of specified cycles in
✍ Abdelhamid Benhocine; A. Pawel Wojda πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 241 KB πŸ‘ 1 views

For 2 s p s n and n 2 3, D(n, p) denotes the digraph with n vertices obtained from a directed cycle of length n by changing the orientation of p -1 consecutives edges. In this paper, we prove that every tournament of order n 2 7 contains D(n, p ) for p = 2, 3, ..., n. Furthermore, we determine the t

Distribution of Cycle Lengths in Graphs
✍ Genghua Fan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 148 KB

Bondy and Vince proved that every graph with minimum degree at least three contains two cycles whose lengths differ by one or two, which answers a question raised by Erdo ˝s. By a different approach, we show in this paper that if G is a graph with minimum degree d(G) \ 3k for any positive integer k,

Solution of a conjecture of Tewes and Vo
✍ Dirk Meierling πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 110 KB πŸ‘ 1 views

## Abstract A directed cycle __C__ of a digraph __D__ is extendable if there exists a directed cycle __C__β€² in __D__ that contains all vertices of __C__ and an additional one. In 1989, Hendry defined a digraph __D__ to be cycle extendable if it contains a directed cycle and every non‐Hamiltonian di