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FSTTCS
2000
Springer
14 years 2 months ago
Coordinatized Kernels and Catalytic Reductions: An Improved FPT Algorithm for Max Leaf Spanning Tree and Other Problems
Abstract. We describe some new, simple and apparently general methods for designing FPT algorithms, and illustrate how these can be used to obtain a signi cantly improved FPT algor...
Michael R. Fellows, Catherine McCartin, Frances A....
JCT
2010
112views more  JCT 2010»
13 years 9 months ago
Annular embeddings of permutations for arbitrary genus
In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each ...
I. P. Goulden, William Slofstra
DAM
2011
13 years 5 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
DM
1998
57views more  DM 1998»
13 years 10 months ago
Note on alternating directed cycles
The problem of the existence of an alternating simple dicycle in a 2-arc-coloured digraph is considered. This is a generalization of the alternating cycle problem in 2-edgecoloure...
Gregory Gutin, Benny Sudakov, Anders Yeo
COMBINATORICS
1999
73views more  COMBINATORICS 1999»
13 years 10 months ago
A [k, k+1]-Factor Containing A Given Hamiltonian Cycle
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
Mao-cheng Cai, Yanjun Li, Mikio Kano