An edge represents a relationship between nodes. According to some people, maths is just the use of complicated formulas and calculations which won’t be ever applied in real life. For example, the position of a planet is a function of time. Yes! Applications. Sylvester in 1878 where he drew an analogy between Materials covering the application of graph theory “Quantic Invariants” and co-variants of algebra and often fail to describe the basics of the graphs and their molecular diagrams. Hamiltonian Path − e-d-b-a-c. 2 What is a Graph? Keywords Hamiltonian, Regular, Edge-disjoint Hamiltonian circuits, Perfect matching, Intersection graph. Functions Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). First, we define Hamilton fuzzy cycle as follows. This are entities such as Users, Pages, Places, Groups, Comments, Photos, Photo Albums, Stories, Videos, Notes, Events and so forth. It is a well known 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. In a Hamiltonian cycle, some edges of the graph can be skipped. But, maths is the universal language which is applied in almost every aspect of life. 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. 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 The Graph API is a revolution in large-scale data provision. INTRODUCTION Hamiltonian graph plays a very important role in real life’s problem. A graph is a collection of nodes and edges.A graph is also called a network. applications of Graph Theory in the different types of fields. Note − Euler’s circuit contains each edge of the graph exactly once. 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. Example. It is known that a Hamiltonian graph is a graph having at least one Hamiltonian circuit. 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. Example: Facebook – the nodes are … Facebook's Graph API is perhaps the best example of application of graphs to real life problems. Hamiltonian fuzzy graphs. A Hamiltonian cycle in a graph is a cycle that visits each node/vertex exactly once. A node is whatever you are interested in: person, city, team, project, computer, etc. Graphs are used to model many problem of the real word in the various fields. Keywords : Bipartite Graph, Connected Graph, Social Media Networks, Graph Coloring, Median Graph. As in classical case, a fuzzy graph is said to be Hamiltonian if it contains a Hamilton cycle[27]. Graphs are extremely power full and yet flexible tool to model. A connected graph is said to be Hamiltonian if it contains each vertex of G exactly once. 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