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DM
2006
103views more  DM 2006»
13 years 7 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
JAL
2006
101views more  JAL 2006»
13 years 7 months ago
Semi-matchings for bipartite graphs and load balancing
We consider the problem of fairly matching the left-hand vertices of a bipartite graph to the right-hand vertices. We refer to this problem as the optimal semimatching problem; it...
Nicholas J. A. Harvey, Richard E. Ladner, Lá...
DM
2008
97views more  DM 2008»
13 years 7 months ago
On extremal k-outconnected graphs
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
Zeev Nutov
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
FSTTCS
2007
Springer
14 years 1 months ago
Covering Graphs with Few Complete Bipartite Subgraphs
We consider computational problems on covering graphs with bicliques (complete bipartite subgraphs). Given a graph and an integer k, the biclique cover problem asks whether the edg...
Herbert Fleischner, Egbert Mujuni, Daniël Pau...