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» A Note on the Road-Coloring Conjecture
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CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 7 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
IJMMS
2000
76views more  IJMMS 2000»
13 years 7 months ago
On the notion of interestingness in automated mathematical discovery
We survey five mathematical discovery programs by looking in detail at the discovery processes they illustrate and the success they've had. We focus on how they estimate the ...
Simon Colton, Alan Bundy, Toby Walsh
JCT
2010
79views more  JCT 2010»
13 years 5 months ago
Vertex-coloring edge-weightings: Towards the 1-2-3-conjecture
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender
CORR
2002
Springer
95views Education» more  CORR 2002»
13 years 7 months ago
On the survey-propagation equations for the random K-satisfiability problem
In this note we study the existence of a solution to the survey-propagation equations for the random K-satisfiability problem for a given instance. We conjecture that when the num...
Giorgio Parisi
CAGD
2004
121views more  CAGD 2004»
13 years 7 months ago
A conjecture on tangent intersections of surface patches
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
Thomas W. Sederberg, Jianmin Zheng, Xiaowen Song