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Lecture Notes
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16 years 7 months ago
Combinatorial Algorithms
"This is a standard senior-level algorithms class required of every computer science undergraduate and graduate student at the University of Illinois."
Jeff Erickson
COCOA
2008
Springer
14 years 10 months ago
Magic Labelings on Cycles and Wheels
We present efficient algorithms to generate all edge-magic and vertex-magic total labelings on cycles, and all vertex-magic total labelings on wheels. Using these algorithms, we ex...
Andrew Baker, Joe Sawada
COMPGEOM
2005
ACM
14 years 11 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
COMPGEOM
2008
ACM
14 years 11 months ago
Polychromatic colorings of plane graphs
We show that the vertices of any plane graph in which every face is of length at least g can be colored by (3g - 5)/4 colors so that every color appears in every face. This is nea...
Noga Alon, Robert Berke, Kevin Buchin, Maike Buchi...
COMPGEOM
2007
ACM
15 years 1 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...