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EJC
2008
15 years 6 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
WG
1994
Springer
15 years 10 months ago
Fugitive-Search Games on Graphs and Related Parameters
The goal of a fugitive-search game on a graph is to trap a fugitive that hides on the vertices of the graph by systematically placing searchers on the vertices. The fugitive is as...
Nick D. Dendris, Lefteris M. Kirousis, Dimitrios M...
DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
15 years 10 months ago
On the Complexity of Graph Self-assembly in Accretive Systems
We study the complexity of the Accretive Graph Assembly Problem (AGAP). An instance of AGAP consists of an edge-weighted graph G, a seed vertex in G, and a temperature . The goal i...
Stanislav Angelov, Sanjeev Khanna, Mirkó Vi...
SIROCCO
2007
15 years 8 months ago
Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
Jurek Czyzowicz, Stefan Dobrev, Evangelos Kranakis...
DM
2000
150views more  DM 2000»
15 years 6 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West