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» On the adaptable chromatic number of graphs
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90
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CC
2006
Springer
133views System Software» more  CC 2006»
15 years 15 days ago
The complexity of chromatic strength and chromatic edge strength
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
Dániel Marx
99
Voted
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
15 years 1 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
88
Voted
IPL
2008
145views more  IPL 2008»
15 years 14 days ago
Complexity analysis of a decentralised graph colouring algorithm
Colouring a graph with its chromatic number of colours is known to be NP-hard. Identifying an algorithm in which descisions are made locally with no information about the graph�...
Ken R. Duffy, N. O'Connell, Artëm Sapozhnikov
88
Voted
ENDM
2007
68views more  ENDM 2007»
15 years 13 days ago
List Colouring Squares of Planar Graphs
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
Frédéric Havet, Jan van den Heuvel, ...
82
Voted
DM
1998
82views more  DM 1998»
15 years 4 days ago
Signed analogs of bipartite graphs
We characterize the edge-signed graphs in which every 'significant' positive closed walk (or combination of walks) has even length, under seven different criteria for si...
Thomas Zaslavsky