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98
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DM
2006
144views more  DM 2006»
15 years 24 days 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
78
Voted
DM
2006
66views more  DM 2006»
15 years 24 days 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
100
Voted
DM
2006
86views more  DM 2006»
15 years 24 days 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
101
Voted
DM
2006
124views more  DM 2006»
15 years 24 days 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...
76
Voted
DM
2006
73views more  DM 2006»
15 years 24 days 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