It is easy to see that for any d ∈ N and any n > d such that nd is even, there exist d-regular n-vertex graphs The concept of a uniform random d- regular graph on [ n]
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Regular Graphs
A graph is said to be regular if all its vertices have the same degree If the degree of each vertex of G is k, then G is said to be k-regular Examples of regular graphs
[PDF] Julius Petersens theory of regular graphs - CORE
The graph served as a counterexample to Tait's 'theorem' [31] on the 4-colour problem: a bridgeless 3-regular graph is factorable into three l-factors Petersen's
[PDF] Regular factors in regular graphs - CORE
Katerinis, P , Regular factors in regular graphs, Discrete Mathematics 113 (1993) 269-274 Let G be a k-regular, (k - I)-edge-connected graph with an even
[PDF] Strongly regular graphs
sporadic groups arise as group of automorphisms of a strongly regular graph), regular graphs with at most 512 vertices together with some information about
Factors of Regular Graphs - ScienceDirect
Tutte proved that if r is an odd integer, then every r-regular graph has a [k - 1, k]- factor for every integer k, 0 i k < r We prove that if r is odd and 0 < k < 2r/3, then
Regular factors in regular graphs - ScienceDirectcom
Katerinis, P , Regular factors in regular graphs, Discrete Mathematics 113 (1993) 269-274 Let G be a k-regular, (k - I)-edge-connected graph with an even
[PDF] Random regular graphs - CMU Math
SHORT COURSE ON RANDOM GRAPHS LECTURE 5 Regular graphs A vertex has degree d if it is incident with d edges A d-regular graph has all vertices of
[PDF] The expansion of random regular graphs - SNAP: Stanford
It is easy to see that for any d ∈ N and any n > d such that nd is even, there exist d-regular n-vertex graphs The concept of a uniform random d- regular graph on [ n]
[PDF] REGULAR GRAPHS OF GIVEN GIRTH Contents 1 Introduction This
3 août 2007 · We observe that a complete graph with n vertices is n − 1-regular, and has (n2) = n(n − 1) 2 edges Definition 2 11 A complete bipartite graph
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