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Ch6 圖形
第 21 題/共 26 題
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DS 21/26
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21. Adjacency Matrix、Graph Representation
#DS-06-021
易
Adjacency Matrix
Graph Representation
📝
☆
Let
G
=
(
V
,
E
)
G=(V,E)
G
=
(
V
,
E
)
be an undirected graph with n vertices, where
n
>
1
n>1
n
>
1
, and M be the adjacency-matrix of G. Which of the following statement(s) is (are) correct.
A
(A) M is a symmetric matrix.
B
(B) The degree of vertex i is equal to the ith row sum.
C
(C) The number of edges of G is equal to
∑
i
=
1
n
∑
j
=
1
n
M
(
i
,
j
)
\sum_{i=1}^{n}\sum_{j=1}^{n}M(i,j)
∑
i
=
1
n
∑
j
=
1
n
M
(
i
,
j
)
D
(D) The graph has an even number of vertices of odd degree.
E
(E) The graph has an even number of vertices of even degree. (Note that 0 is defined as an even number.)
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