๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Minimum Degree Result for Disjoint Cycles and Forests in Graphs

โœ Scribed by Gerald W. Schuster


Book ID
105746895
Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
232 KB
Volume
18
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Edge disjoint Hamilton cycles in sparse
โœ Bollob๏ฟฝs, B.; Cooper, C.; Fenner, T. I.; Frieze, A. M. ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 175 KB ๐Ÿ‘ 3 views

Let G n,m,k denote the space of simple graphs with n vertices, m edges, and minimum degree at least k, each graph G being equiprobable. Let G have property A k , if G contains (k -1)/2 edge disjoint Hamilton cycles, and, if k is even, a further edge disjoint matching of size n/2 . We prove that, for

Disjoint cycles with chords in graphs
โœ Ch. Sobhan Babu; Ajit A. Diwan ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB

## Abstract Let $n\_1,n\_2,\ldots,n\_k$ be integers, $n=\sum n\_i$, $n\_i\ge 3$, and let for each $1\le i\le k$, $H\_i$ be a cycle or a tree on $n\_i$ vertices. We prove that every graph __G__ of order at least __n__ with $\sigma\_2(G) \ge 2( n-k) -1$ contains __k__ vertex disjoint subgraphs $H\_1'

Long cycles in graphs with prescribed to
โœ Douglas Bauer; H.J. Broersma; J. van den Heuvel; H.J. Veldman ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 427 KB

A cycle C of a graph G is a D~-cycle if every component of G-V(C) has order less than 2. Using the notion of D~-cycles, a number of results are established concerning long cycles in graphs with prescribed toughness and minimum degree. Let G be a t-tough graph on n/> 3 vertices. If 6 > n/(t + 2) + 2-

Minimum bandwidth problem for embedding
โœ Lin, Yixun ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 98 KB ๐Ÿ‘ 2 views

For the bandwidth B(G) and the cyclic bandwidth B c (G) of a graph G, it is known that 1 2 B(G) ยฐBc (G) ยฐB(G). In this paper, the criterion conditions for two extreme cases B c (G) ร… B(G) and B c (G) ร… 1 2 B(G) are studied. From this, some exact values of B c (G) for special graphs can be obtained.