Question: Section 5.4 quiz - Matrix Representations of Graphs Question #1 of 6 Main Menu 1. It A is the adjacenty matrix for a graph G,

Section 5.4 quiz - Matrix Representations of Graphs Question #1 of 6 Main Menu 1. It A is the adjacenty matrix for a graph G, find the total degrees in the graph. abcde abcde abcde a 0 1 1 1 0 a 3 1 2 1 3 a 4 8 8 8 4 b10101 b 1 3 2 3 1 b 8 4 8 4 8 A = c 1 1 0 1 1 A = c 2 2 4 2 2 A* = C8 8 8 8 8 d1 0 101 d 1 3 2 3 1 d8 4 8 4 8 e0 1 1 1 0 e3 1 2 1 3 e4 8 8 8 4 Answer = Previous Answer: (none) Change answer Cancel and returnI. Question #4 of 5 4. Determine if the two graphs are isomorphic. 0 True 0 False Previous Answer: (none) Change answer ' Cancel and return Question #5 of 5 5. Determine an invariant that shows the two graphs are not isomorphic. O Graph A \"has 2 simple cycles of length 3". O Graph B "has 1 simple cycle of length 4". Previous Answer: (none) 4 Cancel and return Question #2 of 6 2. If A is the adjacenty matrix for a graph G, find the total number of edges in the graph. abcde abcde abcde a 0 1 1 0 a 3 1 2 1 3 a 4 8 8 8 4 b1010 1 b1 3 2 3 b 8 4 8 4 8 A = c 1 10 1 1 A = c2 2 4 2 2 A' = C8 8 8 8 8 d 1 0 1 0 1 d 1 3 2 3 1 d8 4 8 4 8 e 0 1 1 1 0 e 3 1 2 1 3 e4 8 8 8 4 Answer = Previous Answer: (none) Change answer Cancel and returnQuestion #3 of 6 3. Find the number of paths from d to c of length 2. abcde abcde abcde a0 1 1 1 0 a 3 1 2 1 3 a 4 8 8 8 4 b 1 0 0 1 b1 3 2 3 1 b 8 4 8 4 8 A = c 1 1 0 1 1 A' = c2 2 4 2 2 A' = C8 8 8 8 8 d1 0 1 0 1 d1 3 2 3 1 d 8 4 8 4 8 e0 1 1 10 e3 1 2 1 3 e4 8 8 8 4 Answer = Previous Answer: (none) Change answer Cancel and returnQuestion #4 of 6 4. Find the number of paths from b to e of length 3. abcde abcde abcde a0 1 1 1 0 a 3 1 2 1 3 a 4 8 8 8 4 b1010 1 b 1 3 2 3 1 b 8 4 8 4 8 A = c 1 1 0 1 1 A = c 2 2 4 2 2 A* = C8 8 8 8 8 d1 0 10 1 d 1 3 2 3 1 d8 4 8 4 8 e0 1 1 1 0 e3 1 2 1 3 e4 8 8 4 Answer = Previous Answer: (none) Change answer Cancel and returnQuestion #5 of 6 5. If A is the adjacenty matrix for a graph G, find the number of simple cycles of length 3. abcde abcde abcde a 0 1 1 1 0 a 3 1 2 1 3 a 4 8 8 8 4 b1 0 10 1 b 1 3 2 3 1 b 8 4 8 4 8 A = c 1 1 0 1 1 A = c 2 2 4 2 2 A* = C8 8 8 8 8 d1 0 1 0 1 d 1 3 2 3 1 d8 4 8 4 8 e0 1 1 1 0 e 3 1 2 1 3 e 4 8 8 8 4 Answer = Previous Answer: (none) Change answer Cancel and returnQuestion #6 of 6 6. A is the adjacency matrix for a graph of G with 5 vertices. Determine if the graph is oonnected? a b c d e :15 21 13 1B 19 b 21 36 21 29 29 A'+A'+A'+A'=c 13 21 15 19 18 {118 29 19 26 23 919 29 18 23 26 0 Yes 0 No Previous Answer: (none) 4 Cancel and return Section 5.6 quiz - Isomorphic Graphs Question #1 of 5 1. Determine if the following are invariants for the graph. \"has a Hamiltonian cycle" 0 True 0 False "has an Euler cycle" 0 True 0 False Previous Answer: (none) 1 Cancel and return I. Question #2 of 5 2. Determine if the following are invariants for the graph. "is bipartite" 0 True 0 False "has two vertices of degree two" 0 True 0 False Previous Answer: (none) 1 Cancel and return Question #3 of 5 3. Determine if the two graphs are isomorphic. 0 True 0 False Previous Answer: (none) Change answer '1 Cancel and return

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