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ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
14 years 1 months ago
On Complexity and Approximability of the Labeled Maximum/Perfect Matching Problems
In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph G = (V, E) with n vertices...
Jérôme Monnot
JGT
2007
85views more  JGT 2007»
13 years 7 months ago
On self duality of pathwidth in polyhedral graph embeddings
: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
Fedor V. Fomin, Dimitrios M. Thilikos
ISAAC
2004
Springer
98views Algorithms» more  ISAAC 2004»
14 years 1 months ago
Inner Rectangular Drawings of Plane Graphs
A drawing of a plane graph is called an inner rectangular drawing if every edge is drawn as a horizontal or vertical line segment so that every inner face is a rectangle. An inner ...
Kazuyuki Miura, Hiroki Haga, Takao Nishizeki
DM
2010
91views more  DM 2010»
13 years 8 months ago
Adjacency posets of planar graphs
In this paper, we show that the dimension of the adjacency poset of a planar graph is at most 8. From below, we show that there is a planar graph whose adjacency poset has dimensio...
Stefan Felsner, Ching Man Li, William T. Trotter
CORR
2006
Springer
94views Education» more  CORR 2006»
13 years 8 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...