Results 1  10
of
56,324
AN n 5/2 ALGORITHM FOR MAXIMUM MATCHINGS IN BIPARTITE GRAPHS
, 1973
"... The present paper shows how to construct a maximum matching in a bipartite graph with n vertices and m edges in a number of computation steps proportional to (m + n)x/. ..."
Abstract

Cited by 712 (1 self)
 Add to MetaCart
The present paper shows how to construct a maximum matching in a bipartite graph with n vertices and m edges in a number of computation steps proportional to (m + n)x/.
Treewidth of Chordal Bipartite Graphs
 J. ALGORITHMS
, 1992
"... Chordal bipartite graph are exactly those bipartite graph in which every cycle of length at least six has a chord. The treewidth of a graph G is the smallest maximum cliquesize among all chordal supergraphs of G decreased by one. We present a polynomial time algorithm for the exact computation of ..."
Abstract

Cited by 18 (5 self)
 Add to MetaCart
Chordal bipartite graph are exactly those bipartite graph in which every cycle of length at least six has a chord. The treewidth of a graph G is the smallest maximum cliquesize among all chordal supergraphs of G decreased by one. We present a polynomial time algorithm for the exact computation
An Attractive Class of Bipartite Graphs
, 2001
"... In this paper we propose a structural characterization for a class of bipartite graphs defined by two forbidden induced subgraphs. We show that the obtained characterization leads to polynomialtime algorithms for several problems that are NPhard in general bipartite graphs. ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
In this paper we propose a structural characterization for a class of bipartite graphs defined by two forbidden induced subgraphs. We show that the obtained characterization leads to polynomialtime algorithms for several problems that are NPhard in general bipartite graphs.
Bisimplicial Edges in Bipartite Graphs
, 2010
"... Bisimplicial edges in bipartite graphs are closely related to pivots in Gaussian elimination that avoid turning zeroes into nonzeroes. We present a new deterministic algorithm to find such edges in bipartite graphs. The expected time complexity of our new algorithm is O (n² log n) on random biparti ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Bisimplicial edges in bipartite graphs are closely related to pivots in Gaussian elimination that avoid turning zeroes into nonzeroes. We present a new deterministic algorithm to find such edges in bipartite graphs. The expected time complexity of our new algorithm is O (n² log n) on random
Intrinsic knotting of bipartite graphs
 Undergrad. Papers in Knot Theory
"... Abstract: We further identify and categorize intrinsically knotted bipartite graphs. We are motivated by a conjecture that a bipartite graph with E ≥ 4V 17 is intrinsically knotted. We verify the conjecture for graphs that have exactly 6 vertices in one part and at least 6 in the other. We also pr ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Abstract: We further identify and categorize intrinsically knotted bipartite graphs. We are motivated by a conjecture that a bipartite graph with E ≥ 4V 17 is intrinsically knotted. We verify the conjecture for graphs that have exactly 6 vertices in one part and at least 6 in the other. We also
Minimal universal bipartite graphs
"... A graph U is (induced)universal for a class of graphs X if every member of X is contained in U as an induced subgraph. We study the problem of nding a universal graph with minimum number of vertices for various classes of bipartite graphs: exponential classes of bipartite (and general) graphs, bipa ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
A graph U is (induced)universal for a class of graphs X if every member of X is contained in U as an induced subgraph. We study the problem of nding a universal graph with minimum number of vertices for various classes of bipartite graphs: exponential classes of bipartite (and general) graphs
Packing bipartite graphs with covers of complete bipartite graphs
 Proc 7th Int Conf on Algorithms and Complexity, Lecture Notes in Computer Science
, 2010
"... Abstract. For a set S of graphs, a perfect Spacking (Sfactor) of a graph G is a set of mutually vertexdisjoint subgraphs of G that each are isomorphic to a member of S and that together contain all vertices of G. IfG allows a covering (locally bijective homomorphism) to a graph H, thenG is an Hc ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
cover. For some fixed H let S(H) consist of all Hcovers. Let Kk,ℓ be the complete bipartite graph with partition classes of size k and ℓ, respectively. For all fixed k, ℓ ≥ 1, we determine the computational complexity of the problem that tests if a given bipartite graph has a perfect S(Kk,ℓ)packing. Our
Forbidden induced bipartite graphs
 J. GRAPH THEORY
, 2006
"... Given a fixed bipartite graph H, we study the asymptotic speed of growth of the number of bipartite graphs on n vertices which do not contain an induced copy of H. Whenever H contains either a cycle or the bipartite complement of a cycle, the speed of growth is 2 Ω(n 6 5). For every other bipartite ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
Given a fixed bipartite graph H, we study the asymptotic speed of growth of the number of bipartite graphs on n vertices which do not contain an induced copy of H. Whenever H contains either a cycle or the bipartite complement of a cycle, the speed of growth is 2 Ω(n 6 5). For every other bipartite
Edgecoloring in bipartite graphs
, 1997
"... Given a bipartite graph G with n nodes, m edges and maximum degree \Delta, we find an edge coloring for G using \Delta colors in time T + O(m log \Delta), where T is the time needed to find a perfect matching in a kregular bipartite graph with at most O(m) edges and k ^ \Delta. Together with best k ..."
Abstract

Cited by 10 (1 self)
 Add to MetaCart
Given a bipartite graph G with n nodes, m edges and maximum degree \Delta, we find an edge coloring for G using \Delta colors in time T + O(m log \Delta), where T is the time needed to find a perfect matching in a kregular bipartite graph with at most O(m) edges and k ^ \Delta. Together with best
Results 1  10
of
56,324