In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A regular directed graph must also satisfy …

Sep 4, 2019 · A graph is called K regular if degree of each vertex in the graph is K. Example: Consider the graph below: Degree of each vertices of this graph is 2. So, the graph is 2 …

A simple graph is said to be regular of degree r if all vertex degrees are the same number r. A 0-regular graph is an empty graph, a 1-regular graph consists of disconnected edges, and a two …

Sep 8, 2023 · Regular graphs come in various degrees and are essential in modelling diverse real-world systems, from social networks to computer networks. In this mathematics article, we …

A regular graph is a graph where every vertex has the same number of edges, i.e., each vertex has the same degree. This type of graph has symmetrical properties, making it a useful …

A graph \(G\) is called strongly regular with parameters \((n, k, s, t)\) if \(G\) is a \(n\)-vertex, \(k\)-regular graph such that any two adjacent vertices have \(s\) common neighbors and any two …

Sep 3, 2024 · 2 Regular graphs A regular graph is a graph in which every vertex has the same degree. More specifically, an r-regular graph is a graph in which every vertex has degree r. …

In many ways, strongly-regular graphs can be thought of as the high-degree analogs of expander graphs. However, they are much easier to construct. Many times someone has asked me for a …

Nov 12, 2023 · An unoriented graph in which each vertex has the same degree. If the common degree is $k$, the graph may be termed $k$-regular. A strongly regular graph is a regular …

If a graph G is regular of degree n 2 and is of order v, yet G ≠ K v or K ¯ υ, and if p i,j h (x,y) is independent of the choice of x and y, for h, i, j = 1, 2 then G is said to be a strongly regular graph.