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» Packing Cycles in Graphs
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GD
2004
Springer
15 years 5 months ago
Clustering Cycles into Cycles of Clusters
In this paper we study simple families of clustered graphs that are highly unconnected. We start by studying 3-cluster cycles, which are clustered graphs such that the underlying ...
Pier Francesco Cortese, Giuseppe Di Battista, Maur...
COMBINATORICS
2004
115views more  COMBINATORICS 2004»
15 years 4 days ago
Dense Packings of Equal Spheres in a Cube
We describe an adaptation of the billiard algorithm for finding dense packings of equal spheres inside a domain of the euclidean space. In order to improve the convergence of this...
Thierry Gensane
GC
2010
Springer
14 years 10 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
GC
2010
Springer
14 years 9 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
ACTA
2008
136views more  ACTA 2008»
15 years 12 days ago
Two-dimensional packing with conflicts
We study the two-dimensional version of the bin packing problem with conflicts. We are given a set of (two-dimensional) squares V = {1, 2, . . . , n} with sides s1, s2 . . . , sn ...
Leah Epstein, Asaf Levin, Rob van Stee