# Minimum Degree

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

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 ... 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 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 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.