WebJan 1, 2015 · The Degree/diameter problem asks for the largest graphs given diameter and maximum degree. This problem has been extensively studied both for directed and … WebThe problem of finding the largest order nd,k of an undirected graph of a given maximum degree d and a given diameter k has been known for nearly five decades as the degree …

Moore graphs and beyond: A survey of the degree/diameter problem

WebA (Δ , D)-graph is a graph with maximum degree Δ and diameter at most D. The order of a graph with degree Δ ( Δ > 2) of diameter D is bounded by the Moore bound. It is known … WebProblem 1 (10 points) For each lettered item on the left below, ... matches it best. a) shortest path distance _18_ 1) small changes have large effects b) worst-case diameter _12_ 2) heavy tail ... exponential decay away from the mean d) degree of vertex _16_ 4) opposite of Solaria e) scaling laws of human travel _14_ 5) persuasive hunter automatic watering system

The Diameter of Graphs: a survey Semantic Scholar

WebFeb 28, 2013 · We consider the bipartite version of the degree/diameter problem, namely, given natural numbers d ≥ 2 and D ≥ 2, find the maximum number N b (d, D) of vertices in a bipartite graph of maximum degree d and diameter D. In this context, the bipartite Moore bound M b (d, D) represents a general upper bound for N b (d, D). WebMar 7, 2024 · The "Degree diameter problem" is a graph theory problem that comes up in the design of computer networks, particularly peer-to-peer software networks or "virtual networks" (such as multi-player online gaming) and parallel processing architectures using node-to-node links for inter-CPU data exchange (Beowulf clusters worked this way). WebThe degree/diameter problem is to determine the largest possible order of d-regular graphs with diameter D for given d and D 2. This is a fundamental problem in graph theory [1, 4, … hunter automotive lifts