Graphs are extremely power full and yet flexible tool to model. Example: Facebook – the nodes are … Example. It is a well known 1. For example, the position of a planet is a function of time. But, maths is the universal language which is applied in almost every aspect of life. A graph is a collection of nodes and edges.A graph is also called a network. A node is whatever you are interested in: person, city, team, project, computer, etc. A graph containing a Hamiltonian cycle is called a Hamiltonian graph. Real Life Applications of Trigonometry Graphs By: Kaleo Nakamura Cosine Graph Trigonometry y=cosx, cosx=sin(x+pi/2), y=Acos(Bx-C), y=Acos(Bx-C)+D A=Amplitude, B=Period/Number of Cycles, C=Phase Shift (Horizontal), D=Phase Shift (Vertical), C/B=Starting Point X=Value of X where We discuss conditions for a fuzzy graph to have a particular type of Hamilton cycle called as Hamilton fuzzy cycle, based on the vertex neighbor sets of the fuzzy graph. Such a path is called a Hamiltonian path. In our researches, we have identified different types of graphs that are used in most important real field applications and then tried to give their clear idea from the Graph Theory. The Graph API is a revolution in large-scale data provision. INTRODUCTION Hamiltonian graph plays a very important role in real life’s problem. Applications. You read it right; basic mathematical concepts are followed all the time. On The Graph API, everything is a vertice or node. Note − Euler’s circuit contains each edge of the graph exactly once. Functions Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Example. First, we define Hamilton fuzzy cycle as follows. This paper gives an overview of the applications of graph theory in heterogeneous fields to some extent but mainly focuses on the computer science applications that uses graph theoretical concepts. A Hamiltonian cycle in a graph is a cycle that visits each node/vertex exactly once. Hamiltonian Path − e-d-b-a-c. Keywords Hamiltonian, Regular, Edge-disjoint Hamiltonian circuits, Perfect matching, Intersection graph. 2 What is a Graph? As in classical case, a fuzzy graph is said to be Hamiltonian if it contains a Hamilton cycle[27]. It is known that a Hamiltonian graph is a graph having at least one Hamiltonian circuit. Anyhow the term “Graph” was innovated by where those concepts are used in real life applications. Keywords : Bipartite Graph, Connected Graph, Social Media Networks, Graph Coloring, Median Graph. Graphs are used to model many problem of the real word in the various fields. An edge represents a relationship between nodes. Hamiltonian fuzzy graphs. Properties of Hamiltonian graph. There have been several researches to find the number of Hamiltonian cycles of a Hamilton graph. According to some people, maths is just the use of complicated formulas and calculations which won’t be ever applied in real life. Yes! This are entities such as Users, Pages, Places, Groups, Comments, Photos, Photo Albums, Stories, Videos, Notes, Events and so forth. In a Hamiltonian cycle, some edges of the graph can be skipped. Hamiltonian graph: A connected graph G= (V, E) is said to be Hamiltonian graph, if there exists a cycle which contains all vertices of graph G. Such a cycle is called Hamiltonian cycle. applications of Graph Theory in the different types of fields. Facebook's Graph API is perhaps the best example of application of graphs to real life problems. A connected graph is said to be Hamiltonian if it contains each vertex of G exactly once. 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