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SODA
2004
ACM
144views Algorithms» more  SODA 2004»
15 years 8 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
CORR
2008
Springer
112views Education» more  CORR 2008»
15 years 6 months ago
Canonical calculi with (n,k)-ary quantifiers
Propositional canonical Gentzen-type systems, introduced in [2], are systems which in addition to the standard axioms and structural rules have only logical rules in which exactly ...
Arnon Avron, Anna Zamansky
DM
2008
97views more  DM 2008»
15 years 6 months ago
(r, r+1)-factorizations of (d, d+1)-graphs
A (d, d + 1)-graph is a graph whose vertices all have degrees in the set {d, d + 1}. Such a graph is semiregular. An (r, r + 1)-factorization of a graph G is a decomposition of G ...
Anthony J. W. Hilton
GC
2008
Springer
15 years 6 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
JCC
2006
68views more  JCC 2006»
15 years 6 months ago
Explicit factorization of external coordinates in constrained statistical mechanics models
If a macromolecule is described by curvilinear coordinates or rigid constraints are imposed, the equilibrium probability density that must be sampled in Monte Carlo simulations in...
Pablo Echenique, Iván Calvo