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 graph with vertices of degree k is called a k-regular graph or regular graph of degree k. A diagram of a graph with 6 vertices and 7 edges. ... In the mathematical field of graph theory the degree or valency of a vertex v is the number of edges incident to v (with loops being counted twice). ...
Regular graph of degree at most 2 are easy to classify: A 0-regular graph consists of disconnected vertices, a 1-regular graph consists of disconnected edges, and a 2-regular graph consists of disconnected cycles. Cycle in graph theory and computer science has several meanings: A closed walk, with repeated vertices allowed. ...
A 3-regular graph is know as a cubic graph. In the mathematical field of graph theory, a cubic graph is a graph where all vertices have degree 3. ...
A strongly regular graph is a regular graph where every adjacent pair of vertices has the same number l of neighbors in common, and every non-adjacent pair of vertices has the same number n of neighbors in common. The smallest graphs that are regular but not strongly regular are the cycle graph and the circulant graph on 6 vertices. In the mathematical field of graph theory a cycle graph or circle graph is a graph that consists of a cycle. ...
The complete graphKm is strongly regular for any m. In the mathematical field of graph theory a complete graph is a simple graph where an edge connects every pair of vertices. ...
A regulargraph with vertices of degree k is called a k-regular graph or regulargraph of degree k.
Regulargraph of degree at most 2 are easy to classify: A 0-regular graph consists of disconnected vertices, a 1-regular graph consists of disconnected edges, and a 2-regular graph consists of disconnected cycles.
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