Graph theory Research Paper Example | Topics and Well Written Essays - 500 words

Graph theory - Research Paper Exampleiss Mathematician certain a solution to an old puzzle related to the possibility of establishing a path across every one of the seven bridges that span a forked river flowing past (Biggs 140). From a conceptual perspective, a graph is formed by vertices and edges linking the vertices. From a formal perspective however, a graph refers to a pair of sets (V, E), where V is a set of vertices and E is a set of edges. Based on these fundamental concepts underpinning graph theory, this paper seeks to explain the importance and practical application of the theorys theoretical concepts in various fields (Biggs 124).The concept of graph theory is important because graphs allow for a simplification of complex concepts, eliminating the inapplicable details without forfeiting much information necessary for the task. As asserted by Biggs (148), the assumptions made by the graph theory match the real world conditions and be therefore not comparable to any ot her model. Among the fundamental uses of the graph theory entail giving a unified formalism for diverse feel real life problems. This has been the sufficient basis upon which algorithms have been presented in this common formalism.The theoretical concepts underpinning graph theory are widely used in the poring over and modeling of various applications, in diverse fields. These include construction of bonds in chemistry, study of molecules, and the study of atoms. Graph theory is widely used in Sociology for case to measure the prestige of actors or in exploring the mechanisms of diffusion (Biggs 150). Besides, the conservation efforts made in biological sciences essentially apply the concepts of graph theory where a peak represent regions where certain species exist and the edges are used to represent paths of migration or movement from one region to another (Biggs 152). Such information is important much so when examining the breeding patterns or tracking the spread of parasit es, diseases and in the study of the