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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1434-9922 xclusively for weighted graphs and weighted adaptations of f.One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevert

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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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Connectivity,ory. Most of the applications of graph theory, especially in the field of networking are based on connectivity. This chapter focusses on the weighted analogues of basic connectivity concepts in unweighted graphs. Note that in classical sense, a graph without weights is working in the principles of A

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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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