Titlebook: Weighted and Fuzzy Graph Theory; Sunil Mathew,John N. Mordeson,M. Binu Book 2023 The Editor(s) (if applicable) and The Author(s), under ex

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Book 2023show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs..

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Graphs and Weighted Graphs,ne of the most preeminent ways of applying mathematics in real-world scenario involves modeling using graph theory. It is because of its instinctual diagrammatic portrayal. Graphs have been found to be helpful in modeling real-world problems.

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Intervals and Gates,t ., then . is called the central vertex of .. Here . denotes the minimum. Also, . is the radius of . with respect to the metric .. The center of . denoted by . is the subgraph of . induced by the central vertices of . with respect to .. An eccentric vertex of . with respect to . is that vertex . such that ..

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Distance and Convexity,n weighted graphs also. The distance between two vertices in a weighted graph is defined as the minimum of the sum of weights over all geodesics connecting them. This section defines a new kind of distance in 2-connected weighted graphs named as the weighted distance.

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Intervals and Gates,t ., then . is called the central vertex of .. Here . denotes the minimum. Also, . is the radius of . with respect to the metric .. The center of . denoted by . is the subgraph of . induced by the central vertices of . with respect to .. An eccentric vertex of . with respect to . is that vertex . such that ..

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