Minimum Degree

Some articles on minimum, degree, minimum degree:

Line Graph Of A Hypergraph - Line Graphs of k-uniform Linear Hypergraphs, k ≥ 3
... finite list of forbidden induced subgraphs for linear 3-uniform hypergraphs with minimum vertex degree at least 69 ... list exists for linear k-uniform hypergraphs, no matter what lower bound is placed on the degree ... consecutive diamonds share vertices of degree two ...
Moore Graphs As Cages
... bounding the number of vertices in a graph in terms of its maximum degree and its diameter, we can calculate via similar methods a lower bound on the number of ... Suppose G has minimum degree d and girth 2k+1 ... Therefore, any Moore graph has the minimum number of vertices possible among all graphs with minimum degree d and diameter k it is a cage ...
Degree (graph Theory)
... In graph theory, the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex, with loops counted twice ... The degree of a vertex is denoted The maximum degree of a graph G, denoted by Δ(G), and the minimum degree of a graph, denoted by δ(G), are the maximum and minimum degree of its vertices ... In the graph on the right, the maximum degree is 5 and the minimum degree is 0 ...

Famous quotes containing the words degree and/or minimum:

    A certain degree of miserey [sic] seems inseparable from a high degree of populousness.
    James Madison (1751–1836)

    There are ... two minimum conditions necessary and sufficient for the existence of a legal system. On the one hand those rules of behavior which are valid according to the system’s ultimate criteria of validity must be generally obeyed, and on the other hand, its rules of recognition specifying the criteria of legal validity and its rules of change and adjudication must be effectively accepted as common public standards of official behavior by its officials.
    —H.L.A. (Herbert Lionel Adolphus)