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» New upper bounds on the decomposability of planar graphs
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JGT
2007
87views more  JGT 2007»
13 years 6 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
14 years 1 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
CORR
2008
Springer
124views Education» more  CORR 2008»
13 years 6 months ago
A New Upper Bound for Max-2-Sat: A Graph-Theoretic Approach
In MaxSat, we ask for an assignment which satisfies the maximum number of clauses for a boolean formula in CNF. We present an algorithm yielding a run time upper bound of O (2 K 6....
Daniel Raible, Henning Fernau
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 6 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 7 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang