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DM
2006
144views more  DM 2006»
15 years 4 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna
DM
2006
66views more  DM 2006»
15 years 4 months ago
On the role of hypercubes in the resonance graphs of benzenoid graphs
The resonance graph R(B) of a benzenoid graph B has the perfect matchings of B as vertices, two perfect matchings being adjacent13 if their symmetric difference forms the edge set...
Khaled Salem, Sandi Klavzar, Ivan Gutman
DM
2006
86views more  DM 2006»
15 years 4 months ago
Decomposing oriented graphs into transitive tournaments
For an oriented graph G with n vertices, let f(G) denote the minimum number of transitive subtournaments that decompose G. We prove several results on f(G). In particular, if G is...
Raphael Yuster
DM
2006
124views more  DM 2006»
15 years 4 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...
DM
2006
73views more  DM 2006»
15 years 4 months ago
Composition of Post classes and normal forms of Boolean functions
The class composition C K of Boolean clones, being the set of composite functions f(g1, . . . , gn) with f C, g1, . . . , gn K, is investigated. This composition C K is either...
Miguel Couceiro, Stephan Foldes, Erkko Lehtonen