Graph theory

Applications of Graph Theory in Real Life Sharathkumar.A, Final year, Dept of CSE, Anna University, Villupuram Email: kingsharath92@gmail.com Ph. No: 9789045956 Abstract Graph theory is becoming increasingly significant as it is applied to other areas of mathematics, science and technology. It is being actively used in fields as varied as biochemistry (genomics), electrical engineering (communication networks and coding theory), computer science (algorithms and computation) and operations

application of the graph theory and ‘e’ Caitlin McFarlane 10/14/2015   Table of Contents Introduction Leonhard Euler was a Swiss Mathematician and physicist during the 1700s. He was born in 1707 in Basel, Switzerland. He is known to be a pioneer of mathematics contributing to trigonometry, calculus and geometry. The principle that he came up with and investigated was the foundation of modern day mathematics. His most famous was ‘The Graph Theory’, using mathematic

in the United States and southern Canada to earn points as well as completing routes designated on the destination tickets. The game itself is not only a fun way to spend hours playing but it is also a good tool to showcase various concepts in graph theory and combinatorics.

at the time, but was able to take away that the work I was doing in my calculus and statistics classes were merely the tips of icebergs that I am glad to be descending upon now. I was also introduced to more exotic fields like knot theory and chaos theory. Chaos theory was the field that interested me the most, and so we would often talk about this during class downtime. What got me seriously interested was the notion of non integer dimensions.

Mathematics in Football The purpose of this report is to research the use of mathematics in football. In particular, we have researched the use of network theory and PageRank algorithm. The report aims to consider which strategies are optimal and discuss whether teams ought to adopt a more mathematical approach to on-field play. Introduction Network theory is becoming more and more used within football to help teams analyse and change their style of play. It consists of a collection of nodes, with edges

Mathematics has become part of our life. Graph Theory is a branch of mathematics that plays a major role in every field of human being. In this paper we define different matrices associated with the Graphs along with some properties of a graph. And Rank of rank of an incidence matrix. Key Words: Adjacency matrix, Incidence matrix, Degree matrix, Circuit matrix and Line graph. INTRODUCTION: Incidence Matrix is one of methods of representing the graph. Let G = (V,E) be graph whose vertices and edges are labeled

an appropriate transportation network. This is where graph theory comes in. Graphs are defined by a set of vertices and a set of edges, where each edge connects two of its vertices. For the example below, each of the dots is a vertex, while each of the lines is an edge. Often, the vertices and edges are labelled with letters, for example {v1, v2, v3,…,vn} for n number of vertices and {e1, e2, e3,…,em} for m number of edges. The example graph shown above after labelling would look something like

understanding of cellular processes. New pathways, proteins, or systems can be identified via network analysis. In order to recognize groups of proteins that work together, a biological network, called a graph, is formed. The study of graphs has a prominent history in mathematics and statistics. Graph Theory

network and some of the applications of knowledge networks in civil engineering through explaining the search methodology of Dijkstra and kruskal algorithms which are two of the most common algorithms applied in this field Keywords—Knowledge Network; Graph Theory; Civil Engineering, dijkstras algorithm, kruskal algoithm; shortest path; minimum spanning tree; trusses I. INTRODUCTION This paper reviews 3 applications for knowledge networks in civil engineering, but before we review these problem

do not create the cycle. Observe that Prim’s algorithm, which only grows one tree, Kruskal’s algorithm grows the collection of the trees. It continue until forest ’merge to’ single tree. This is the minimum spanning tree. EXAMPLE Step 1. In this graph, a Edge (g, h) is shortest. Either vertex g or vertex h can be representative. Select vertex g . Step 2. The edge (c, i) creates second tree. Select vertex c as representative for the second tree. Step 3. Edge (g, g) is next shortest edge