WebMar 1, 2024 · The field of graph theory, specifically graph labeling is used in communication networks, particularly in satellite communication. An allocation of numbers to the nodes of a graph \(G (V, E)\) under some conditions is a node labeling of \(G\).In a “mobile satellite service (MSS)” system, “channel using efficiency is still the main factor” … In the mathematical discipline of graph theory, a graph labelling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. Formally, given a graph G = (V, E), a vertex labelling is a function of V to a set of labels; a graph with such a function defined is called a vertex-labeled graph. Likewise, an edge labelling is a function of E to a set of labels. In this case, the graph is called an edge-labeled graph.
Analyzing the Applications of Graph Theory in Communication
Webdenote the order and size of the graph G. The union of two graphs G1 and G2 is the graph G1∪G2 with V(G1 ∪ G2)=V(G1)∪ V(G2)and E(G1 ∪ G2)=E(G1)∪ E(G2). A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Labeled graphs serve as useful models for a broad range of applications ... WebA Radio Mean labeling of a connected graph is a one to one map from the vertex set to the set of natural numbers such that for two distinct vertices and of , . The radio mean number of , , is the maximum number assigned to any vertex of .The radio mean number of , is the minimum value of taken over all radio mean labelings of . chubb beneficiary form
Applications of Graph Labeling in Communication Networks
WebJul 4, 2014 · For Any application applied radio labeling process proved as an efficient way of determining the time of communication for sensor … WebMar 24, 2024 · Let G be a finite, connected, undirected graph with graph diameter d(G) and graph distance d(u,v) between vertices u and v. A radio labeling of a graph G is labeling using distinct nonnegative integers such that f(u)-f(v) >=d(G)+1-d(u,v) for every pair of distinct vertices u, v in the vertex set of G. Then the radio number of G, commonly … WebAug 30, 2024 · Given an n-vertex graph G = (V,E) with m edges, a labeling f of V ∪ E that uses all the labels in the set {1,2,...,n + m} is edge-magic if there is an integer k such that f(u) + f(v) + f(uv) = k for every edge uv ∈ E.Furthermore, if the labels in {1,2,...,n} are given to the vertices, then f is called super edge-magic.Kotzig [On magic valuations of … desert travel clothing