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SIAMJO
2010
79views more  SIAMJO 2010»
14 years 8 months ago
Theta Bodies for Polynomial Ideals
Inspired by a question of Lov´asz, we introduce a hierarchy of nested semidefinite relaxations of the convex hull of real solutions to an arbitrary polynomial ideal, called theta...
João Gouveia, Pablo A. Parrilo, Rekha R. Th...
EJC
2011
14 years 1 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
SIROCCO
2003
14 years 11 months ago
Polynomial-Time Computable Backup Tables for Shortest-Path Routing
For networks employing shortest-path routing, we introduce a new recovery scheme which needs only one backup routing table. By precomputing this backup table, the network recovers...
Hiro Ito, Kazuo Iwama, Yasuo Okabe, Takuya Yoshihi...
DAM
2007
129views more  DAM 2007»
14 years 9 months ago
Easy and hard instances of arc ranking in directed graphs
: In this paper we deal with the arc ranking problem of directed graphs. We give some classes of graphs for which the arc ranking problem is polynomially solvable. We prove that de...
Dariusz Dereniowski
75
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JCT
2007
90views more  JCT 2007»
14 years 9 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner