Question

a. Let G be 4-regular graph on 400 vertices, whose adjacency matrix A = ($a_{i,j}$). Then 400 400 200 $\sum_{i=1} a_{i,201} + \sum_{j=1} a_{102,j} + \sum_{i=1} a_{i,i}$ is (a) 8 (b) 9 (c) 798 (d) 800 (e) none of these. b Which of the following can be an induced subgraph of $C_{13}$ (a) $K^C_{10}$ (b) $C_{10}$ (c) $C_{11}$ (d) $P_{12}$ (e) none of these. c. If G is (6, 10)-graph and H is (4, 6)-graph, then the size of G × H is (a) 76 (b) 84 (c) 86 (d) 74 (e) none of these.

          a. Let G be 4-regular graph on 400 vertices, whose adjacency matrix A = ($a_{i,j}$). Then
400
400
200
$\sum_{i=1} a_{i,201} + \sum_{j=1} a_{102,j} + \sum_{i=1} a_{i,i}$ is
(a) 8
(b) 9
(c) 798
(d) 800
(e) none of these.
b Which of the following can be an induced subgraph of $C_{13}$
(a) $K^C_{10}$ (b) $C_{10}$ (c) $C_{11}$ (d) $P_{12}$ (e) none of these.
c. If G is (6, 10)-graph and H is (4, 6)-graph, then the size of G × H is
(a) 76
(b) 84
(c) 86
(d) 74
(e) none of these.

a. Let G be 4-regular graph on 400 vertices, whose adjacency matrix A = (ai,j). Then
400
400
200
∑i=1 ai,201 + ∑j=1 a102,j + ∑i=1 ai,i is
(a) 8
(b) 9
(c) 798
(d) 800
(e) none of these.
b Which of the following can be an induced subgraph of C13
(a) K^C10 (b) C10 (c) C11 (d) P12 (e) none of these.
c. If G is (6, 10)-graph and H is (4, 6)-graph, then the size of G × H is
(a) 76
(b) 84
(c) 86
(d) 74
(e) none of these.

Added by Pilar J.

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