5 search results - page 1 / 1 » Independent dominating sets and hamiltonian cycles |
JGT
2007
13 years 7 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...
SIAMCOMP
2010
13 years 2 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,...
JCT
2010
13 years 5 months ago
2010
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
ICALP
2009
Springer
14 years 7 months ago
2009
Springer
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
LCTRTS
2007
Springer
14 years 1 months ago
2007
Springer
Energy efficiency is an important factor in embedded systems design. We consider an embedded system with a dynamic voltage scaling (DVS) capable processor and its system-wide pow...