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TALG
2008
69views more  TALG 2008»
13 years 7 months ago
Testing Euclidean minimum spanning trees in the plane
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whether G is a Euclidean minimum spanning tree (EMST) of P or G differs from it in ...
Artur Czumaj, Christian Sohler
DM
2008
73views more  DM 2008»
13 years 7 months ago
Graphs with the n-e.c. adjacency property constructed from affine planes
We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our ...
C. A. Baker, Anthony Bonato, Julia M. Nowlin Brown...
GD
2004
Springer
14 years 28 days ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
COMBINATORICS
2002
85views more  COMBINATORICS 2002»
13 years 7 months ago
Sum List Coloring 2*n Arrays
A graph is f-choosable if for every collection of lists with list sizes specified by f there is a proper coloring using colors from the lists. The sum choice number is the minimum...
Garth Isaak
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
13 years 7 months ago
Goldberg-Coxeter Construction for 3- and 4-valent Plane Graphs
We consider the Goldberg-Coxeter construction GCk,l(G0) (a generalization of a simplicial subdivision of the dodecahedron considered in [Gold37] and [Cox71]), which produces a pla...
Mathieu Dutour, Michel Deza