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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 4 months ago
On the Symmetry of the Distribution of k-Crossings and k-Nestings in Graphs
This note contains two results on the distribution of k-crossings and k-nestings in graphs. On the positive side, we exhibit a class of graphs for which there are as many k-noncro...
Anna de Mier
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 4 months ago
Layout of Graphs with Bounded Tree-Width
A queue layout of a graph consists of a total order of the vertices, and a partition of the edges into queues, such that no two edges in the same queue are nested. The minimum numb...
Vida Dujmovic, Pat Morin, David R. Wood
ISAAC
1992
Springer
186views Algorithms» more  ISAAC 1992»
13 years 8 months ago
Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs
Let G be an undirected plane graph with non-negative edge length, and let k terminal pairs lie on two specified face boundaries. This paper presents an algorithm for finding k &quo...
Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
DAM
1998
61views more  DAM 1998»
13 years 4 months ago
On Trees and Noncrossing Partitions
We give a simple and natural proof of (an extension of) the identity P(k, l, n) = P2(k − 1, l − 1, n − 1). The number P(k, l, n) counts noncrossing partitions of {1, 2, . . ...
Martin Klazar