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101
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DM
2007
86views more  DM 2007»
15 years 22 days ago
Short cycle connectivity
Short cycle connectivity is a generalization of ordinary connectivity—two vertices have to be connected by a sequence of short cycles, in which two consecutive cycles have at le...
Vladimir Batagelj, Matjaz Zaversnik
82
Voted
DM
2007
57views more  DM 2007»
15 years 22 days ago
Triangulated neighborhoods in even-hole-free graphs
An even-hole-free graph is a graph that does not contain, as an induced subgraph, a chordless cycle of even length. A graph is triangulated if it does not contain any chordless cy...
Murilo Vicente Gonçalves da Silva, Kristina...
72
Voted
DM
2007
72views more  DM 2007»
15 years 22 days ago
Multicomplexes and polynomials with real zeros
We show that each polynomial a(z)=1+a1z+· · ·+adzd in N[z] having only real zeros is the f-polynomial of a multicomplex. It follows that a(z) is also the h-polynomial of a Cohe...
Jason Bell, Mark Skandera
78
Voted
DM
2007
84views more  DM 2007»
15 years 22 days ago
Matroids on convex geometries (cg-matroids)
We consider matroidal structures on convex geometries, which we call cg-matroids. The concept of a cg-matroid is closely related to but different from that of a supermatroid intro...
Satoru Fujishige, Gleb A. Koshevoy, Yoshio Sano
109
Voted
DM
2007
142views more  DM 2007»
15 years 22 days ago
Dominating direct products of graphs
An upper bound for the domination number of the direct product of graphs is proved. It in particular implies that for any graphs G and H, γ(G × H) ≤ 3γ(G)γ(H). Graphs with a...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall