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» On Planar Quasi-Parity Graphs
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TAMC
2009
Springer
16 years 21 days 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»
15 years 6 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»
15 years 6 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»
15 years 6 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 10 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