Example1: Draw regular graphs of degree 2 and 3. A graph of this kind is sometimes said to be an srg(v, k, λ, μ). If all the vertices in a graph are of degree ‘k’, then it is called as a “k-regular graph“. A complete graph is a graph that has an edge between every single one of its vertices. In a simple graph, the number of edges is equal to twice the sum of the degrees of the vertices. So these graphs are called regular graphs. Examples- In these graphs, All the vertices have degree-2. In graph theory, a strongly regular graph is defined as follows. All complete graphs are regular but vice versa is not possible. Therefore, they are 2-Regular graphs… infoAbout (a) How many edges are in K3,4? It only takes a minute to sign up. Regular Graph. In the following graphs, all the vertices have the same degree. Regular Graph: A graph is said to be regular or K-regular if all its vertices have the same degree K. A graph whose all vertices have degree 2 is known as a 2-regular graph. (c) What is the largest n such that Kn = Cn? Is K3,4 a regular graph? In a graph, if the degree of each vertex is 'k', then the graph is called a 'k-regular graph'. Explanation: In a regular graph, degrees of all the vertices are equal. Other articles where Regular graph is discussed: combinatorics: Characterization problems of graph theory: …G is said to be regular of degree n1 if each vertex is adjacent to exactly n1 other vertices. A graph is regular if all the vertices of G have the same degree. Every two adjacent vertices have λ common neighbours. In particular, if the degree of each vertex is r, the G is regular of degree r. The Handshaking Lemma In any graph, the sum of all the vertex-degree is equal to twice the number of edges. (b) How many edges are in K5? 6. 7. Bipartite Graph: A graph G = (V, E) is said to be bipartite graph if its vertex set V(G) can be partitioned into two non-empty disjoint subsets. A graph G is said to be regular, if all its vertices have the same degree. Example. We represent a complete graph with n vertices with the symbol K n. A 3-regular planar graph should satisfy the following conditions. Regular Graph. Answer: b ; Every two non-adjacent vertices have μ common neighbours. Therefore, it is a disconnected graph. A regular graph of degree n1 with υ vertices is said to be strongly regular with parameters (υ, n1, p111, p112) if any two adjacent vertices are both adjacent to exactly… In the given graph the degree of every vertex is 3. advertisement. (e) Is Qn a regular graph for n ≥ … Normal exhalation is 1.5-2 seconds, followed by an automatic pause (no breathing for about 1-2 seconds). Let G = (V, E) be a regular graph with v vertices and degree k. G is said to be strongly regular if there are also integers λ and μ such that: . Regular Graph: A simple graph is said to be regular if all vertices of a graph G are of equal degree. 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