### Some articles on *minimum, degree, minimum degree*:

Line Graph Of A Hypergraph - Line Graphs of

... finite list of forbidden induced subgraphs for linear 3-uniform hypergraphs with

*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

... 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

... 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)