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» A Note On Reed's Conjecture
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DCG
2008
76views more  DCG 2008»
13 years 5 months ago
Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
In [GL] it was shown that a polytope with few vertices is far from being symmetric in the Banach-Mazur distance. More precisely, it was shown that Banach-Mazur distance between su...
E. D. Gluskin, A. E. Litvak
JCT
2000
96views more  JCT 2000»
13 years 5 months ago
On Tail Distribution of Interpost Distance
A partial order on Z obtained by taking the transitive closure of a random relation {i < j and there is an edge ij} is studied. Randomness stems from postulating that an edge ij...
Jeong Han Kim, Boris Pittel
DAM
1998
75views more  DAM 1998»
13 years 5 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
SIROCCO
2007
13 years 7 months ago
Fast Periodic Graph Exploration with Constant Memory
We consider the problem of periodic exploration of all nodes in undirected graphs by using a nite state automaton called later a robot. The robot, using a constant number of state...
Leszek Gasieniec, Ralf Klasing, Russell A. Martin,...
AIL
2008
103views more  AIL 2008»
13 years 5 months ago
A dialogical theory of presumption
The notions of burden of proof and presumption are central to law, but as noted in McCormick on Evidence, they are also the slipperiest of any of the family of legal terms employe...
Douglas Walton