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» On the hyperbolicity constant in graphs
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CORR
2006
Springer
94views Education» more  CORR 2006»
15 years 6 months ago
Zig-zag and Replacement Product Graphs and LDPC Codes
It is known that the expansion property of a graph influences the performance of the corresponding code when decoded using iterative algorithms. Certain graph products may be used ...
Christine A. Kelley, Deepak Sridhara, Joachim Rose...
COCOA
2010
Springer
15 years 4 months ago
Listing Triconnected Rooted Plane Graphs
A plane graph is a drawing of a planar graph in the plane such that no two edges cross each other. A rooted plane graph has a designated outer vertex. For given positive integers ...
Bingbing Zhuang, Hiroshi Nagamochi
CPC
2010
116views more  CPC 2010»
15 years 3 months ago
A Separator Theorem for String Graphs and its Applications
A string graph is the intersection graph of a collection of continuous arcs in the plane. It is shown that any string graph with m edges can be separated into two parts of roughly...
Jacob Fox, János Pach
SIROCCO
2007
15 years 7 months ago
Rapid Almost-Complete Broadcasting in Faulty Networks
This paper studies the problem of broadcasting in synchronous point-to-point networks, where one initiator owns a piece of information that has to be transmitted to all other verti...
Rastislav Kralovic, Richard Královic
COMBINATORICS
2006
153views more  COMBINATORICS 2006»
15 years 6 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