On the line graph of a graph with diameter 2
Web9 de set. de 2015 · Received 16 November 2016 Accepted 7 April 2024 Published online April 7 2024 Academic Editor: Tomislav Doslić The Harary index ( ) of a connected graph is defined as ( ) = ∑ ( , ) , ∈ ( ) , where (… WebHow to Use the Line Graph Calculator? Follow these steps which will help you to use the calculator. Step 1: Enter the values of slope and intercept to find the linear equation of a …
On the line graph of a graph with diameter 2
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Web27 de mar. de 2013 · Then (A k) ij is nonzero iff d (i, j) ≤ k. We can use this fact to find the graph diameter by computing log n values of A k. Here's how the algorithm works: let A be the adjacency matrix of the graph with an added self loop for each node. Set M 0 = A. While M k contains at least one zero, compute M k+1 = M k2. WebInteractive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more!
WebApr 5, 2013 at 8:36. 1. It is actually not bounded by n/k. Take for example the following 3-regular graph: start with one vertex adjacent to all the vertices of a path on 3 vertices. Join the two extremity to an other vertex, says u. do a copy of this graph with v the copy of u and join u and v. This graph has diameter 5, 10 vertices and degree 3. WebThey create a graph of the door's angular acceleration as a function of the net torque and sketch a best-fit line through the data. ... A net force is applied to the edge of a disk that …
Web4 de jul. de 2010 · Diameter, D, of a network having N nodes is defined as the longest path, p, of the shortest paths between any two nodes D ¼ max (minp [pij length ( p)). In this equation, pij is the length of the path between nodes i and j and length (p) is a procedure that returns the length of the path, p. For example, the diameter of a 4 4 Mesh D ¼ 6. WebSo again, the diameter and the radius are both 1. For the complete bipartite graph K m, n, you need two steps to reach any vertex so the radius and the diameter are both 2. The exception to this is when m or n is 1. In that case, the single vertex can reach any other vertex in a single step so the radius is reduced to 1.
Web24 de mar. de 2024 · Graph Diameter. The graph diameter of a graph is the length of the "longest shortest path" (i.e., the longest graph geodesic) between any two graph vertices , where is a graph distance . In other words, a graph's diameter is the largest number of vertices which must be traversed in order to travel from one vertex to another when …
WebA strongly regular graph is a distance-regular graph with diameter 2 whenever μ is non-zero. It is a locally linear graph whenever λ = 1. Etymology A ... (28, 12, 6, 4), the same as the line graph of K 8, but these four graphs are not isomorphic. The line graph of a generalized quadrangle GQ(2, 4) is an srg(27, 10, 1, 5). tsss2020WebExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Graphing … tsss2022Web2.5 Diameter. 2.6 Spectrum. 2.7 Independence number. 3 Related graphs. 4 References. Toggle References subsection 4.1 Notes. 4.2 Works cited. ... The Kneser graph K(n, 2) is the complement of the line graph of the complete graph on n vertices. The Kneser graph K(2n − 1, n − 1) is the odd graph O n; ... tsss2021WebSince your graph has radius 1 there must be a central vertex v to which all other vertices are connected. Therefore the underlying backbone of your graph family are the star graphs S n (with n + 1 total vertices). Clearly we require n > 1. The graphs in the family must be obtained from adding edges to the star graphs. tsss25Web24 de mar. de 2024 · A complete graph is a graph in which each pair of graph vertices is connected by an edge. The complete graph with n graph vertices is denoted K_n and has (n; 2)=n(n-1)/2 (the triangular numbers) undirected edges, where (n; k) is a binomial coefficient. In older literature, complete graphs are sometimes called universal graphs. … tsss 18 micro ar 15WebHow can I prove that G (a simple graph) having diameter 2 and Δ ( G) = n − 2 has m ≥ 2 n − 4, where n is the number of vertices and m is the number of edges. This doesn't look like … tsss 360 degree rotating ceiling hookphlebectomy meaning