SIAMCOMP
2010
12 years 11 months ago
2010
We show that Edge Dominating Set, Hamiltonian Cycle, and Graph Coloring are W[1]-hard parameterized by clique-width. It was an open problem, explicitly mentioned in several papers,...
GC
2010
Springer
13 years 1 months ago
2010
Springer
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
IPL
2002
13 years 4 months ago
2002
This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and can not be differential a...
DAM
2000
13 years 4 months ago
2000
Thomassen (J. Combin. Theory Ser. B 28, 1980, 142
ARSCOM
2004
13 years 4 months ago
2004
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...
JGT
2007
13 years 4 months ago
2007
A graph is uniquely hamiltonian if it contains exactly one hamiltonian cycle. In this note we prove that there are no r-regular uniquely hamiltonian graphs when r > 22. This im...
JGAA
2007
13 years 4 months ago
2007
We show how to find a Hamiltonian cycle in a graph of degree at most three with n vertices, in time O(2n/3
ENDM
2007
13 years 4 months ago
2007
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
DAM
2007
13 years 4 months ago
2007
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
DM
2008
13 years 4 months ago
2008
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...