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

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 ... In the graph on the right, the maximum**degree**is 5 and the**minimum degree**is 0 ...Moore Graphs As Cages

... of vertices in a graph in terms of its maximum

... 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 vertices in terms of its**minimum degree**... 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 ...Line Graph Of A Hypergraph - Line Graphs of

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

*k*-uniform Linear Hypergraphs,*k*≥ 3... they found a finite list of forbidden induced subgraphs for linear 3-uniform hypergraphs with

**minimum**vertex**degree**at least 69 ... no matter what lower bound is placed on the**degree**... of m diamond graphs such that the consecutive diamonds share vertices of**degree**two ...### Famous quotes containing the words degree and/or minimum:

“Maybe men are separated from each other only by the *degree* of their misery.”

—Francis Picabia (1878–1953)

“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)