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» New upper bounds on the decomposability of planar graphs
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JGT
2007
87views more  JGT 2007»
15 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»
16 years 19 days 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»
15 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»
15 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»
16 years 6 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