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SIAMDM
2000
59views more  SIAMDM 2000»
15 years 4 months ago
Nonhamiltonian 3-Connected Cubic Planar Graphs
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...
Robert E. L. Aldred, S. Bau, Derek A. Holton, Bren...
ALGORITHMICA
2011
15 years 5 days ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
DM
1999
145views more  DM 1999»
15 years 4 months ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
ICALP
2005
Springer
15 years 10 months ago
Online Interval Coloring and Variants
We study interval coloring problems and present new upper and lower bounds for several variants. We are interested in four problems, online coloring of intervals with and without b...
Leah Epstein, Meital Levy
CDC
2008
IEEE
109views Control Systems» more  CDC 2008»
15 years 11 months ago
Average consensus over small world networks: A probabilistic framework
— It has been observed that adding a few long range edges to certain graph topologies can significantly increase the rate of convergence for consensus algorithms. A notable exam...
Pedram Hovareshti, John S. Baras, Vijay Gupta