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CORR
2006
Springer
164views Education» more  CORR 2006»
13 years 10 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
ISAAC
2009
Springer
142views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Induced Packing of Odd Cycles in a Planar Graph
An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in t...
Petr A. Golovach, Marcin Kaminski, Daniël Pau...
RSA
2010
99views more  RSA 2010»
13 years 8 months ago
Hamiltonicity thresholds in Achlioptas processes
In this paper we analyze the appearance of a Hamilton cycle in the following random process. The process starts with an empty graph on n labeled vertices. At each round we are pre...
Michael Krivelevich, Eyal Lubetzky, Benny Sudakov
DM
2010
124views more  DM 2010»
13 years 7 months ago
Perfect dodecagon quadrangle systems
A dodecagon quadrangle is the graph consisting of two cycles: a 12-cycle (x1, x2, ..., x12) and a 4-cycle (x1, x4, x7, x10). A dodecagon quadrangle system of order n and index [D...
Lucia Gionfriddo, Mario Gionfriddo
CCCG
2006
13 years 11 months ago
Hamiltonian Cycles in Triangular Grids
We study the Hamiltonian Cycle problem in graphs induced by subsets of the vertices of the tiling of the plane with equilateral triangles. By analogy with grid graphs we call such...
Valentin Polishchuk, Esther M. Arkin, Joseph S. B....