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TOMS
2010
106views more  TOMS 2010»
13 years 7 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle
AISC
2008
Springer
13 years 11 months ago
Extending Graphical Representations for Compact Closed Categories with Applications to Symbolic Quantum Computation
Graph-based formalisms of quantum computation provide an abstract and symbolic way to represent and simulate computations. However, manual manipulation of such graphs is slow and e...
Lucas Dixon, Ross Duncan
WG
2004
Springer
14 years 2 months ago
Computing Bounded-Degree Phylogenetic Roots of Disconnected Graphs
The Phylogenetic kth Root Problem (PRk) is the problem of finding a (phylogenetic) tree T from a given graph G = (V, E) such that (1) T has no degree-2 internal nodes, (2) the ex...
Zhi-Zhong Chen, Tatsuie Tsukiji
ICRA
2010
IEEE
138views Robotics» more  ICRA 2010»
13 years 7 months ago
Planning for autonomous door opening with a mobile manipulator
Abstract— Computing a motion that enables a mobile manipulator to open a door is challenging because it requires tight coordination between the motions of the arm and the base. H...
Sachin Chitta, Benjamin J. Cohen, Maxim Likhachev
MFCS
2004
Springer
14 years 2 months ago
Crossing Number Is Hard for Cubic Graphs
It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
Petr Hlinený