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» Bounds on the k-domination number of a graph
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MP
2010
128views more  MP 2010»
13 years 4 months ago
Copositivity cuts for improving SDP bounds on the clique number
Adding cuts based on copositive matrices, we propose to improve Lov´asz’ bound θ on the clique number and its tightening θ introduced by McEliece, Rodemich, Rumsey, and Schri...
Immanuel M. Bomze, Florian Frommlet, Marco Locatel...
JGT
2010
113views more  JGT 2010»
13 years 4 months ago
Crossing numbers of imbalanced graphs
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
János Pach, József Solymosi, G&aacut...
SIAMDM
2008
140views more  SIAMDM 2008»
13 years 6 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
SIAMDM
2010
170views more  SIAMDM 2010»
13 years 24 days ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
JGT
2007
99views more  JGT 2007»
13 years 6 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...