We prove that if s and t are positive integers and if G is a triangle-free graph with minimum degree s + t, then the vertex set of G has a decomposition into two sets which induce subgraphs of minimum degree at least s and t, respectively.
β¦ LIBER β¦
On the closure of triangle-free graphs under substitution
β Scribed by Stephan Olariu
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 390 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On decomposition of triangle-free graphs
β
Kaneko, Atsushi
π
Article
π
1998
π
John Wiley and Sons
π
English
β 80 KB
π 2 views
On the Edge Distribution in Triangle-fre
β
M. Krivelevich
π
Article
π
1995
π
Elsevier Science
π
English
β 517 KB
On the asymptotic structure of sparse tr
β
PrοΏ½mel, Hans JοΏ½rgen; Steger, Angelika
π
Article
π
1996
π
John Wiley and Sons
π
English
β 567 KB
An important result of Erdos, Kleitman, and Rothschild says that almost every triangle-free graph on n vertices has chromatic number 2. In this paper w e study the asymptotic structure of graphs in y0rb,,,(K3), i.e., in the class of trianglefree graphs on n vertices having rn = rn(n) edges. In parti
On 3-choosability of triangle-free plane
β
YingQian Wang; QiJun Zhang
π
Article
π
2011
π
SP Science China Press
π
English
β 234 KB
On stability of Hamilton-connectedness u
β
ZdenΔk RyjΓ‘Δek; Petr VrΓ‘na
π
Article
π
2010
π
John Wiley and Sons
π
English
β 269 KB
π 1 views
We show that, in a claw-free graph, Hamilton-connectedness is preserved under the operation of local completion performed at a vertex with 2-connected neighborhood. This result proves a conjecture by BollobΓ‘s et al.
A note on the matching numbers of triang
β
Roberto W. Frucht; Reinaldo E. Giudici
π
Article
π
1985
π
John Wiley and Sons
π
English
β 137 KB
π 1 views