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» Simplicial cycles and the computation of simplicial trees
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JSC
2007
84views more  JSC 2007»
13 years 4 months ago
Simplicial cycles and the computation of simplicial trees
We generalize the concept of a cycle from graphs to simplicial complexes. We show that a simplicial cycle is either a sequence of facets connected in the shape of a circle, or is ...
Massimo Caboara, Sara Faridi, Peter Selinger
IPPS
2003
IEEE
13 years 10 months ago
Channel Assignment on Strongly-Simplicial Graphs
Given a vector ( 1 2 ::: t) of non increasing positive integers, and an undirected graph G = (V E), an L( 1 2 ::: t)-coloring of G is a function f from the vertex set V to a set o...
Alan A. Bertossi, Maria Cristina Pinotti, Romeo Ri...
COCOON
2010
Springer
13 years 9 months ago
Tracking a Generator by Persistence
The persistent homology provides a mathematical tool to describe “features” in a principled manner. The persistence algorithm proposed by Edelsbrunner et al. [9] can compute n...
Oleksiy Busaryev, Tamal K. Dey, Yusu Wang
WG
2009
Springer
13 years 11 months ago
Chordal Digraphs
Chordal graphs, also called triangulated graphs, are important in algorithmic graph theory. In this paper we generalise the definition of chordal graphs to the class of directed ...
Daniel Meister, Jan Arne Telle
COMPGEOM
1996
ACM
13 years 9 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson