DM
2008
13 years 4 months ago
2008
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algor...
DM
2008
13 years 4 months ago
2008
A (d, d + 1)-graph is a graph whose vertices all have degrees in the set {d, d + 1}. Such a graph is semiregular. An (r, r + 1)-factorization of a graph G is a decomposition of G ...
DM
2008
13 years 4 months ago
2008
It is proved that edges of a graph G with no component K2 can be coloured using at most 2 log2 (G) + 1 colours so that any two adjacent vertices have distinct sets of colours of t...
DM
2008
13 years 4 months ago
2008
DM
2008
13 years 4 months ago
2008
DM
2008
13 years 4 months ago
2008
Ore presented a degree condition involving every pair of nonadjacent vertices for a graph to be hamiltonian. Fan (J. Combin. Theory Ser. B 37 (1984) 221
DM
2008
13 years 4 months ago
2008
We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our ...