[PDF] Top 20 Algorithmic aspects of bipartite graphs

... so If we take as in Rose and Tarjan [2] an ordering of pivots down the main diagonal F fill-in the then 4 [z,yx,x2,y,...,xs,y], where z,,y corresponds to the entry rn,, of produced by th[r] ... See full document

... consider graphs with an even number of ...a bipartite graph, that is, those edges whose individual removal results in the largest decrease of the objective function value in the corresponding weighted ... See full document

... for bipartite graphs are ...for bipartite graphs. Also, for several classes of graphs, they have determined the exact values of the bondage ...in graphs and presented some sharp ... See full document

... larger graphs than it was previously possibl should be stressed that algorithms that explicitly enumer- ate edges or vertices cannot be applied to very large p ...random graphs. Several aspects of ... See full document

... corresponding bipartite graph (Figure 3), edges are created between a sentence and an entity only if the entity is mentioned in a sentence (the cell in entity grid is not ... See full document

... The problem of determining whether a graph is Hamiltonian is NP-complete even for planar graphs. In 1972, Karp [12] proved that finding such a path in a directed or undirected graph is NP-complete. Later, Garey ... See full document

... Abstract—We compare the lower bound of crossing number of bipartite and complete bipartite graph with Zarankiewicz conjecture and we illustrate the possible upper bound by a modified Zar[r] ... See full document

... Halin graphs as a class of minimally 3-vertex-connected graphs: for every edge in the graph, the removal of that edge reduces the connectivity of the ...These graphs gained in significance with the ... See full document

... A graph is a difference graph if there is a bijection f from V to a set of positive integers S such that xy ∈ E if and only if | f (x) − f (y)| ∈ S. A digraph D = (V, E) is a mod difference digraph if there exist a ... See full document

... Abstract. In a graph G , a spanning tree T is said to be a tree t-spanner of the graph G if the distance between any two vertices in T is at most t times their distance in G . The tree t-spanner has many applications in ... See full document

... static graphs 1 have been extensively studied, for their temporal generalization we are still far from having a concrete set of structural and algorithmic ...temporal graphs, the classical ... See full document

... the bipartite graph with n vertices, 1,2,…,n, having the basis {1,2,…,m}; and the set of edges being the union of the set of edges of U and the set of those edges of V which have an endpoint in the basis of ... See full document

... Here we investigate Zero-M-Cordial labeling for Carte- sian product of some graphs, join of two cycle graphs, split graphs and bipartite graphs. Similar results can be derived for other ... See full document

... J., On a Class of Polynomials Associated with the Stars of a Graph and its Application to Node Disjoint Decompositions of Complete Graphs and Complete Bipartite Graphs into Stars, Canad.[r] ... See full document

... In Section 2 the problem statement is discussed along with some basic results. Results re- lated to UUSN and ILN are discussed in detail for some specific classes of graphs (including complement of complete graph, ... See full document

... Remark In the past few years, a number of upper bounds on the Estrada index of graphs have been established by using the algebraic techniques (see, for example, [, , , ]). In comparison to the algebraic ... See full document

... The success of Hopcroft and Karp algorithm in bipartite graphs has made many people attempt to extend it to non-bipartite case. In fact ,in their paper almost all the results are derived for general ... See full document

... Yet, remarkably, we can still find the unique supertree T for a compatible collection F that just contains but does not necessarily coincide with an excess-free, definitive collection F [r] ... See full document

... of graphs are largely used in data structure for database retrieval and in cryptography ...of graphs was done by ...Hamming graphs was done by ...of graphs - SM sum graphs and SM ... See full document

... of graphs defined by very simple algebraic ...the bipartite Kneser graph (Kneser graphs were introduced by Lovász in his celebrated proof of Kneser’s conjecture ...The bipartite Kneser graph ... See full document