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» A counterexample to the dominating set conjecture
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DCC
2004
IEEE
14 years 5 months ago
Some Indecomposable t-Designs
The existence of large sets of 5-(14,6,3) designs is in doubt. There are five simple 5-(14,6,6) designs known in the literature. In this note, by the use of a computer program, we...
Gholamreza B. Khosrovshahi, Behruz Tayfeh-Rezaie
ENDM
2007
140views more  ENDM 2007»
13 years 5 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
AAAI
2008
13 years 7 months ago
A Computational Analysis of the Tournament Equilibrium Set
A recurring theme in AI and multiagent systems is how to select the "most desirable" elements given a binary dominance relation on a set of alternatives. Schwartz's...
Felix Brandt, Felix A. Fischer, Paul Harrenstein, ...
DM
1998
195views more  DM 1998»
13 years 5 months ago
On basis-exchange properties for matroids
We give a counterexample to a conjecture by Wild about binary matroids. We connect two equivalent lines of research in matroid theory: a simple type of basis-exchange property and ...
Joseph E. Bonin
COCOON
2009
Springer
14 years 1 days ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...