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EJC
2010
15 years 7 months ago
Geometric properties of Assur graphs
In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks - Assur graphs - which arise in the analysis of mechanical linkages. In this p...
Brigitte Servatius, Offer Shai, Walter Whiteley
AMC
2006
80views more  AMC 2006»
15 years 7 months ago
Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems
A parallel algorithm based on the multidimensional minimization of the Rayleigh quotient is proposed to evaluate the leftmost eigenpairs of the generalized symmetric positive defi...
Luca Bergamaschi, Angeles Martinez, Giorgio Pini
172
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COMBINATORICS
2006
108views more  COMBINATORICS 2006»
15 years 7 months ago
Dynamic Single-Pile Nim Using Multiple Bases
In the game G0 two players alternate removing positive numbers of counters from a single pile and the winner is the player who removes the last counter. On the first move of the g...
Arthur Holshouser, Harold Reiter
DM
2006
71views more  DM 2006»
15 years 7 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides
DM
2006
81views more  DM 2006»
15 years 7 months ago
On an adjacency property of almost all tournaments
Let n be a positive integer. A tournament is called n-existentially closed (or n-e.c.) if for every subset S of n vertices and for every subset T of S, there is a vertex x / S whi...
Anthony Bonato, Kathie Cameron