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
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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
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
sporadic groups arise as group of automorphisms of a strongly regular graph), regular graphs with at most 512 vertices together with some information about
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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
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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
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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
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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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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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Theorem (Duval 1988). Suppose that there exists a directed strongly regular graph with parameters v k
11. dec. 2013 directed strongly regular graphs by. Leif Kjær Jørgensen. R-2013-13. December 2013. Department of Mathematical Sciences. Aalborg University.
18. mar. 2019 The 4-color theorem for planar graphs is equivalent to the statement that every planar 2-edge-connected 3-regular graph can be edge-decomposed ...
Two 3-regular graphs of order 38 has diameter 4: von Conta - graph (IEEE Transactions on computers 1983) has girth 7. Number of vertices at distance 01
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.
A REGULAR GRAPH. NICHOLAS WORMALD. ABSTRACT. For any connected cubic graph G with 2n points the number of automorphisms of G divides 3n2n.
15. apr. 2016 Keywords: Distance-regular graph; survey; association scheme; P-polynomial; Q- polynomial; geometric. ?This version is published in the ...
Let X be a regular graph with vertex set { 12
4. mar. 2008 Theorem 1 Let ? be a k-regular k-connected graph with n vertices and smallest eigenvalue s which is not the Petersen graph. If k > 1 and. ?ns ...
sporadic groups arise as automorphism groups of a strongly regular graph) in regular graphs with at most 512 vertices together with some information ...
3 août 2007 · This paper gives an introduction to the area of graph theory dealing with prop- erties of regular graphs of given girth A large portion of the
15 avr 2016 · This is a survey of distance-regular graphs We present an introduction to distance- regular graphs for the reader who is unfamiliar with the
PDF In this article we have discussed when we can extend an r-regular graph to an r+ 1 regular by only adding edges The problem has been approached
In Chapter 11 we give the classification of rank 3 groups and identify in each case the corresponding strongly regular graph Everywhere there are extensive
A strongly regular graph is a graph X on n vertices that is neither complete nor empty where each vertex has degree k each pair of adjacent vertices has a
A strongly regular graph is an association scheme with 2 classes Tue points of X are the vertices of the graph and {xy} is an edge if (xy)
All graphs considered in this paper are finite undirected graphs without loops or multiple edges Such a graph G is said to be strongly regular (cf
20 avr 2007 · In this paper we will discover some interesting properties of a particular kind of graph called distance regular graphs using algebraic
In general the spectrum of a graph is a very useful tool to study some of its properties In the case of the distance-regular graphs this tool is specially
Let CCV be a vertex subset of a regular connected graph ? with ecc(C) - = ? Then we say that I is distance-regular around C if the distance partition V
3 août 2007 · This paper gives an introduction to the area of graph theory dealing with prop- erties of regular graphs of given girth. A large portion of the
What is an regular graph?
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 the stronger condition that the indegree and outdegree of each internal vertex are equal to each other.What is regular vs complete 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. A complete graph Kn is a regular of degree n-1. Example1: Draw regular graphs of degree 2 and 3.What are 2 regular graphs?
A two-regular graph is a regular graph for which all local degrees are 2. A two-regular graph consists of one or more (disconnected) cycles.- A graph is locally regular at a vertex v if all vertices adjacent to v have degree r. A graph is thus locally irregular if for each vertex v of G the neighbors of v have distinct degrees, and these graphs are thus termed highly irregular graphs.
Directed Strongly Regular Graphs Leif K. Jørgensen Aalborg