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» Simplicial Powers of Graphs
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DAM
2011
13 years 2 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
DAM
1999
99views more  DAM 1999»
13 years 7 months ago
Recognizing Graphs of Acyclic Cubical Complexes
Acyclic cubical complexes have first been introduced by Bandelt and Chepoi in analogy to acyclic simplicial complexes. They characterized them by cube contraction and elimination ...
Wilfried Imrich, Sandi Klavzar
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
13 years 7 months ago
Goldberg-Coxeter Construction for 3- and 4-valent Plane Graphs
We consider the Goldberg-Coxeter construction GCk,l(G0) (a generalization of a simplicial subdivision of the dodecahedron considered in [Gold37] and [Cox71]), which produces a pla...
Mathieu Dutour, Michel Deza
COMPGEOM
2011
ACM
12 years 11 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner
TKDE
2012
198views Formal Methods» more  TKDE 2012»
11 years 9 months ago
Distributed Line Graphs: A Universal Technique for Designing DHTs Based on Arbitrary Regular Graphs
— Most proposed DHTs engage certain topology maintenance mechanisms specific to the static graphs on which they are based. The designs of these mechanisms are complicated and rep...
Yiming Zhang, Ling Liu