(1)In a graph, the sum of the degrees of all vertices is equal to () times the number of edges of the graph. A.1/2 B.1 C.2 D.4

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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(1)In a graph, the sum of the degrees of all vertices is equal to () times the number of edges of the graph.

A.1/2 B.1 C.2 D.4

(2) In a directed graph, the sum of the in degrees of all vertices is equal to () times the sum of the out degrees of all vertices.

A.1/2 B.1 C.2 D.4

(3) A directed graph with n vertices can have at most () edges.

A.n B.n(n-1) C.n(n+1) D.n2

(4) When a connected graph with n vertices is represented by an adjacent distance matrix, the distance matrix has at least () nonzero elements.

A.n B.2(n-1) C.n/2 D.n2

(5) G is a disconnected undirected graph with 28 edges, then the graph has at least () vertices.

A.7 B.8 C.9 D.10

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