33 search results - page 2 / 7 » Crossing-critical graphs with large maximum degree |
WG
2005
Springer
14 years 2 months ago
2005
Springer
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
RANDOM
2001
Springer
14 years 1 months ago
2001
Springer
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
COMBINATORICA
1998
13 years 8 months ago
1998
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
COMBINATORICA
2007
13 years 8 months ago
2007
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
COMBINATORICA
2010
13 years 6 months ago
2010
In this paper, we propose a simple and natural randomized algorithm to embed a tree T in a given graph G. The algorithm can be viewed as a "self-avoiding tree-indexed random ...