regular graph

It is also possible to find regular graphs with the same properties .

This problem can be overcome by using hypergraphs instead of regular graphs.

Any regular graph with an odd number of nodes.

Every strongly regular graph is symmetric, but not vice versa.

This matrix is used in studying strongly regular graphs and two-graphs.

In graph theory, a strongly regular graph is defined as follows.

According to the theorem of , every bipartite regular graph has a 1-factorization.

Let be derived from the regular graph .

However, not all regular graphs are 1-factorable.

In a regular graph, all degrees are the same, and so we can speak of the degree of the graph.

Its complement, the 10-regular Clebsch graph, is also a strongly regular graph.

Regular graphs may be generated by the GenReg program.

A strongly regular graph is called primitive if both the graph and its complement are connected.

Generating and counting Hamilton cycles in random regular graphs.

Every regular graph has some consistent labeling.

Ted Spence, Strongly regular graphs on at most 64 vertices.

Improvement of the exponent n is a major open problem; for strongly regular graphs this was done by .

Not every regular graph has a 1-factorization; for instance, the Petersen graph does not.

A regular graph containing only two-terminal components will have exactly two non-zero entries in each row.

The point graph of a is a strongly regular graph : .

The adjacency matrix A of a strongly regular graph satisfies these properties :

Strongly regular graphs for which have integer eigenvalues with unequal multiplicities.

This representation implies a strongly regular graph in which each vertex has 2304 neighbors and 1755 non-neighbors.

Ihara showed that for regular graphs the zeta function is a rational function.

The eigenvalues of a conference graph need not be integers, unlike those of other strongly regular graphs.