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» On the Grundy Number of a Graph
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CGF
2008
110views more  CGF 2008»
15 years 6 months ago
Motorcycle Graphs: Canonical Quad Mesh Partitioning
We describe algorithms for canonically partitioning semi-regular quadrilateral meshes into structured submeshes, using an adaptation of the geometric motorcycle graph of Eppstein ...
David Eppstein, Michael T. Goodrich, Ethan Kim, Ra...
COMBINATORICS
2006
118views more  COMBINATORICS 2006»
15 years 6 months ago
Noncrossing Trees and Noncrossing Graphs
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a...
William Y. C. Chen, Sherry H. F. Yan
DAM
2006
116views more  DAM 2006»
15 years 6 months ago
Using graphs for some discrete tomography problems
Given a rectangular array where entries represent the pixels of a digitalized image, we consider the problem of reconstructing an image from the number of occurrences of each colo...
Marie-Christine Costa, Dominique de Werra, Christo...
DM
2006
86views more  DM 2006»
15 years 6 months ago
Decomposing oriented graphs into transitive tournaments
For an oriented graph G with n vertices, let f(G) denote the minimum number of transitive subtournaments that decompose G. We prove several results on f(G). In particular, if G is...
Raphael Yuster
DM
2006
134views more  DM 2006»
15 years 6 months ago
Simultaneous graph parameters: Factor domination and factor total domination
Let F1, F2, . . . , Fk be graphs with the same vertex set V . A subset S V is a factor dominating set if in every Fi every vertex not in S is adjacent to a vertex in S, and a fac...
Peter Dankelmann, Michael A. Henning, Wayne Goddar...