Graph Theory: A Comprehensive Survey about Graph Theory Applications in Computer Science and Social Networks

Graph Theory in Computer Science - an Overview

The field of mathematics plays vital role in various fields. One of the important areas in mathematics is graph theory which is used in structural models. We give a survey of graph theory used in computer sciences. The survey consists of a description of particular topics from the theory of graph of the areas of Computer science in which they are used. However, for each described theory we indi...

Graph Theory, Social Networks and Counter Terrorism

VULNERABILITY ASSESSMENT OF WATER DISTRIBUTION NETWORKS: GRAPH THEORY METHOD

The main functional purpose of a water distribution network is to transport water from a source to several domestic and industrial units while at the same time satisfying various requirements on hydraulic response. All the water distribution networks perform two basic operations: firstly the water network needs to deliver adequate amounts of water to meet specific requirements, and secondly the...

Fuzzy Graph Theory: A Survey

A fuzzy graph (f-graph) is a pair G : (σ, μ) where σ is a fuzzy subset of a set S and μ is a fuzzy relation on σ. A fuzzy graph H : (τ, υ) is called a partial fuzzy subgraph of G : (σ, μ) if τ (u) ≤ σ(u) for every u and υ (u, v) ≤ μ(u, v) for every u and v . In particular we call a partial fuzzy subgraph H : (τ, υ) a fuzzy subgraph of G : (σ, μ ) if τ (u) = σ(u) for every u in τ * and υ (u, v) ...

Topological Graph Theory A Survey