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» On Planar Quasi-Parity Graphs
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TAMC
2009
Springer
15 years 6 months ago
On Parameterized Exponential Time Complexity
In this paper we define the notion of an f(k)-uniform parameterized exponential time scheme. We show that a problem can be solved in parameterized O(2o(f(k)) p(n)) time if and on...
Jianer Chen, Iyad A. Kanj, Ge Xia
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
14 years 11 months ago
Kasteleyn Cokernels
We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is ...
Greg Kuperberg
CORR
2007
Springer
116views Education» more  CORR 2007»
14 years 12 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
IPL
2006
69views more  IPL 2006»
14 years 12 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
ESA
1999
Springer
95views Algorithms» more  ESA 1999»
15 years 4 months ago
A Fast General Methodology for Information - Theoretically Optimal Encodings of Graphs
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
Xin He, Ming-Yang Kao, Hsueh-I Lu