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ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
15 years 9 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»
15 years 4 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
130
Voted
ISAAC
2004
Springer
98views Algorithms» more  ISAAC 2004»
15 years 9 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»
15 years 4 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»
15 years 4 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...