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Lecture Notes
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15 years 5 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
13 years 8 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
13 years 9 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
13 years 9 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
13 years 11 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...