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Parallel algorithms for graph theory problems


Sparse and dense graphs
A graph G(V,E) is sparse if E is match smaller than O( V 2)
Matrix representation is suitable for dense graphs and list representation
for sparse
Spanning Tree
A spanning tree of a graph G is a tree that contains all vertices of G
A minimum spanning tree (MST) for a weighted graph is a spanning tree with
minimum weight
Prim s algorithm
Starts from an arbitrary vertex u
Repeat until all verti ....etc

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In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices, nodes, or points which are connected by edges, arcs, or lines. A graph may be undirected, meaning that there is no distinction between the two vertices associated with each edge, or its edges may be directed from one vertex to another; see Graph (discrete mathematics) for more detailed definitions and for other variations in the types of grap ....etc

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aradhya tutorials notes graph theory

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fuzzy graph theory applications

ABSTRACT

Abstract. A fuzzy graph (f-graph) is a pair G : (s, ) where s is a fuzzy subset of a set S and is a fuzzy relation on s. A fuzzy graph H : (t, u) is called a partial fuzzy subgraph of G : (s, ) if t (u) s(u) for every u and u (u, v) (u, v) for every u and v . In particular we call a partial fuzzy subgraph H : (t, u) a fuzzy subgraph of G : (s, ) if t (u) = s(u) for every u in t * and u (u, v) = (u, v) for every arc (u, v) in u*. A connected f-graph G : (s, ) is a fuzzy tree(f-tree) if it has a ....etc

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presented by:
Rahul Kala

Abstract
Graphs find a variety of use in numerous domains especially because of their capability to model common problems. The social networking graphs that are used for social networking analysis, a feature given by various social networking sites are an example of this. Graphs can also be visualized in the search engines to carry search operations and provide results. Various searching algorithms have been developed for searching in graphs. In this paper we propose that the entire network graph be ....etc

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