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» On Bounds for the k-Partitioning of Graphs
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STACS
1994
Springer
15 years 1 months ago
On the Complexity of the Maximum Cut Problem
The complexity of the simple maxcut problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the follo...
Hans L. Bodlaender, Klaus Jansen
DAM
2010
66views more  DAM 2010»
14 years 10 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
CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 8 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
13 years 8 days ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri
CCCG
2010
14 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