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COMBINATORICS
2006
140views more  COMBINATORICS 2006»
14 years 9 months ago
Characterization of [1, k]-Bar Visibility Trees
A unit bar-visibility graph is a graph whose vertices can be represented in the plane by disjoint horizontal unit-length bars such that two vertices are adjacent if and only if th...
Guantao Chen, Joan P. Hutchinson, Ken Keating, Jia...
DAM
2006
191views more  DAM 2006»
14 years 9 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
PODC
2003
ACM
15 years 2 months ago
Scaling properties of the Internet graph
As the Internet grows in size, it becomes crucial to understand how the speeds of links in the network must improve in order to sustain the pressure of new end-nodes being added e...
Aditya Akella, Shuchi Chawla, Arvind Kannan, Srini...
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
CORR
2004
Springer
75views Education» more  CORR 2004»
14 years 9 months ago
Locally connected spanning trees on graphs
A locally connected spanning tree of a graph G is a spanning tree T of G such that the set of all neighbors of v in T induces a connected subgraph of G for every v V (G). The pur...
Ching-Chi Lin, Gerard J. Chang, Gen-Huey Chen