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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 4 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
JCT
2008
109views more  JCT 2008»
13 years 4 months ago
Spanning 3-colourable subgraphs of small bandwidth in dense graphs
A conjecture by Bollob
Julia Böttcher, Mathias Schacht, Anusch Taraz
SIAMDM
2010
96views more  SIAMDM 2010»
13 years 3 months ago
Note on Bipartite Graph Tilings
Let s < t be two fixed positive integers. We study what are the minimum degree conditions for a bipartite graph G, with both color classes of size n = k(s + t), which ensure t...
Jan Hladký, Mathias Schacht
JCT
2006
102views more  JCT 2006»
13 years 4 months ago
Hamiltonicity in 3-connected claw-free graphs
Kuipers and Veldman conjectured that any 3-connected claw-free graph with order and minimum degree +6 10 is Hamiltonian for sufficiently large. In this paper, we prove that if...
Hong-Jian Lai, Yehong Shao, Mingquan Zhan
SIAMDM
2010
91views more  SIAMDM 2010»
12 years 11 months ago
Embedding into Bipartite Graphs
Abstract. The conjecture of Bollob
Julia Böttcher, Peter Heinig, Anusch Taraz