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EJC
2006
13 years 4 months ago
The topology of the independence complex
We introduce a large self-dual class of simplicial complexes for which we show that each member complex is contractible or homotopy equivalent to a sphere. Examples of complexes i...
Richard Ehrenborg, Gábor Hetyei
SMA
1997
ACM
152views Solid Modeling» more  SMA 1997»
13 years 8 months ago
Structured Topological Complexes: A Feature-Based API for Non-Manifold Topologies
Much of recent research in representation schemes for solid modeling was focused on the extension of boundary representations to support non-manifold topologies. We introduce here...
Jarek Rossignac
WICON
2008
13 years 6 months ago
On the practical complexity of solving the maximum weighted independent set problem for optimal scheduling in wireless networks
It is well known that the maximum weighted independent set (MWIS) problem is NP-complete. Moreover, optimal scheduling in wireless networks requires solving a MWIS problem. Conseq...
Peng Wang, Stephan Bohacek
COMPGEOM
2005
ACM
13 years 6 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
LATIN
2010
Springer
13 years 11 months ago
Time Complexity of Distributed Topological Self-stabilization: The Case of Graph Linearization
Topological self-stabilization is an important concept to build robust open distributed systems (such as peer-to-peer systems) where nodes can organize themselves into meaningful n...
Dominik Gall, Riko Jacob, Andréa W. Richa, ...