Search Results - "Murty, U.S.R."
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A generalization of Littleʼs Theorem on Pfaffian orientations
Published in Journal of combinatorial theory. Series B (01-11-2012)“…Little (1975) [12] showed that, in a certain sense, the only minimal non-Pfaffian bipartite matching covered graph is the brace K3,3. Using a stronger notion…”
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2
How to build a brick
Published in Discrete mathematics (06-10-2006)“…A graph is matching covered if it connected, has at least two vertices and each of its edges is contained in a perfect matching. A 3-connected graph G is a…”
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Professor W.T. Tutte
Published in Journal of combinatorial theory. Series B (01-11-2004)Get full text
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The perfect matching polytope and solid bricks
Published in Journal of combinatorial theory. Series B (01-11-2004)“…The perfect matching polytope of a graph G is the convex hull of the set of incidence vectors of perfect matchings of G. Edmonds (J. Res. Nat. Bur. Standards…”
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On a Conjecture of Lovász Concerning Bricks: I. The Characteristic of a Matching Covered Graph
Published in Journal of combinatorial theory. Series B (01-05-2002)“…In 1987, Lovász conjectured that every brick G different from K4, C6, and the Petersen graph has an edge e such that G−e is a matching covered graph with…”
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On a Conjecture of Lovász Concerning Bricks: II. Bricks of Finite Characteristic
Published in Journal of combinatorial theory. Series B (01-05-2002)“…In (2001, J. Combin. Theory Ser. B) we established the validity of the main theorem (1.1) for solid bricks. Here, we establish the existence of suitable…”
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Optimal Ear Decompositions of Matching Covered Graphs and Bases for the Matching Lattice
Published in Journal of combinatorial theory. Series B (01-05-2002)“…This is a sequel to our papers (M. H. de Carvalho, C. L. Lucchesi, and U. S. R. Murty, 1999, Combinatorica19, 151–174; 2001, J. Combin. Theory, Ser. B; and…”
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On a Conjecture of Lovász Concerning Bricks
Published in Journal of combinatorial theory. Series B (01-05-2002)Get full text
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9
On a Conjecture of Lovász Concerning Bricks
Published in Journal of combinatorial theory. Series B (01-05-2002)Get full text
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