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» A Characterization of Weakly Bipartite Graphs
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JCT
2008
84views more  JCT 2008»
13 years 7 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
JGAA
2008
97views more  JGAA 2008»
13 years 7 months ago
Drawing Bipartite Graphs on Two Parallel Convex Curves
Let G be a bipartite graph, and let e, i be two parallel convex curves; we study the question about whether G admits a planar straight-line drawing such that the vertices of one p...
Emilio Di Giacomo, Luca Grilli, Giuseppe Liotta
DM
2000
115views more  DM 2000»
13 years 7 months ago
Dualizability and graph algebras
We characterize the finite graph algebras which are dualizable. Indeed, a finite graph algebra is dualizable if and only if each connected component of the underlying graph is eith...
Brian A. Davey, Pawel M. Idziak, William A. Lampe,...
IPCO
2007
77views Optimization» more  IPCO 2007»
13 years 8 months ago
Mixed-Integer Vertex Covers on Bipartite Graphs
Let A be the edge-node incidence matrix of a bipartite graph G = (U, V ; E), I be a subset the nodes of G, and b be a vector such that 2b is integral. We consider the following mi...
Michele Conforti, Bert Gerards, Giacomo Zambelli
APAL
2011
13 years 2 months ago
The provably total NP search problems of weak second order bounded arithmetic
We define a new NP search problem, the “local improvement” principle, about labellings of an acyclic, bounded-degree graph. We show that, provably in PV, it characterizes the...
Leszek Aleksander Kolodziejczyk, Phuong Nguyen, Ne...