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COMGEO
2007
ACM
14 years 9 months ago
Drawings of planar graphs with few slopes and segments
We study straight-line drawings of planar graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-...
Vida Dujmovic, David Eppstein, Matthew Suderman, D...
COMBINATORICS
2006
119views more  COMBINATORICS 2006»
14 years 9 months ago
Relaxations of Ore's Condition on Cycles
A simple, undirected 2-connected graph G of order n belongs to class O(n,), 0, if 2 = n - . It is well known (Ore's theorem) that G is hamiltonian if = 0, in which case the 2...
Ahmed Ainouche
COMBINATORICS
2006
153views more  COMBINATORICS 2006»
14 years 9 months ago
The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T in the dual graph G such that T and T do not intersect. We show that it is not always poss...
T. R. Riley, William P. Thurston
COMBINATORICS
2006
100views more  COMBINATORICS 2006»
14 years 9 months ago
Parity Versions of 2-Connectedness
This paper introduces parity versions of familiar graph theoretic results, in particular results related to 2-connectedness. The even and odd circuit connected graphs are characte...
C. Little, A. Vince
FTSTO
2006
43views more  FTSTO 2006»
14 years 9 months ago
Long Range Dependence
The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connect...
Gennady Samorodnitsky