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DAM
2010
66views more  DAM 2010»
13 years 9 months ago
On parse trees and Myhill-Nerode-type tools for handling graphs of bounded rank-width
Rank-width is a structural graph measure introduced by Oum and Seymour and aimed at better handling of graphs of bounded clique-width. We propose a formal mathematical framework an...
Robert Ganian, Petr Hlinený
CCCG
2010
13 years 11 months ago
A new algorithm and improved lower bound for point placement on a line in two rounds
In this paper we show how to construct in 2 rounds a line-rigid point placement graph of size 4n/3+O(1) from small graphs called 6:6 jewels, an extension of the 4:4 jewel of [3]. ...
Md. Shafiul Alam, Asish Mukhopadhyay
EJC
2008
13 years 9 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Jaroslav Nesetril, Patrice Ossona de Mendez
JCT
2007
146views more  JCT 2007»
13 years 9 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
COCO
2004
Springer
93views Algorithms» more  COCO 2004»
14 years 3 months ago
Lower Bounds for Testing Bipartiteness in Dense Graphs
We consider the problem of testing bipartiteness in the adjacency matrix model. The best known algorithm, due to Alon and Krivelevich, distinguishes between bipartite graphs and g...
Andrej Bogdanov, Luca Trevisan