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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 7 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 7 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 5 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 7 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»
13 years 2 months ago
Embedding into Bipartite Graphs
Abstract. The conjecture of Bollob
Julia Böttcher, Peter Heinig, Anusch Taraz