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1. State which of graphs shown in Figure 1 are: a. Simple graph b. Regular graph Graph (A) V2 Graph (B) Figure 1 €6 Graph (C)

1. State which of graphs shown in Figure 1 are: a. Simple graph b. Regular graph Graph (A) V2 Graph (B) Figure 1 €6 Graph (C)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. State which of graphs shown in Figure 1 are: a. Simple graph b. Regular graph e1 e2 es Graph (A) ASSIGNMENT 4 SECI/SCSI 1013: Discrete Structure [2022/2023 - Semester 1] Due Date: 7th January 2023 G: V2 es €10 V6 V1 Graph (B) eg Figure 1 2. Determine whether the given alternating vertices and edges is a walk, trail, path or circuit for the graph shown in Figure 2. a. v2, e7, v5, e6, v4, e3, v3 b. v2, e7, v5, e8, v1, e8, v5, e6, v4, e5, v4, e4, v4 c. v1, e8, v5, e9, v1, e1, v2, e7, v5, e6, v4, e4, v4 d. v2, e7, v5, e6, v4, e3, v3, e2, v2 e1 e8 V5 V2 5 e7 eg 2 €6 V3 ez Figure 3 Graph (C) e3 e6 eq VA) CA Figure 2 3. Find the adjacency matric for the graph shown in Figure 3. V3
Transcribed Image Text:1. State which of graphs shown in Figure 1 are: a. Simple graph b. Regular graph e1 e2 es Graph (A) ASSIGNMENT 4 SECI/SCSI 1013: Discrete Structure [2022/2023 - Semester 1] Due Date: 7th January 2023 G: V2 es €10 V6 V1 Graph (B) eg Figure 1 2. Determine whether the given alternating vertices and edges is a walk, trail, path or circuit for the graph shown in Figure 2. a. v2, e7, v5, e6, v4, e3, v3 b. v2, e7, v5, e8, v1, e8, v5, e6, v4, e5, v4, e4, v4 c. v1, e8, v5, e9, v1, e1, v2, e7, v5, e6, v4, e4, v4 d. v2, e7, v5, e6, v4, e3, v3, e2, v2 e1 e8 V5 V2 5 e7 eg 2 €6 V3 ez Figure 3 Graph (C) e3 e6 eq VA) CA Figure 2 3. Find the adjacency matric for the graph shown in Figure 3. V3
4. Find the graph for the following incidence matric. 5. Determine whether the four graphs in Figure 4 are Hamiltonian Path or Hamiltonian circuit? g FARES San Francisco $39 C A $89 D Los Angeles a (a) O 1 1 0000 00 1 0 1 00001 1 $89 Denver 101 000 0 1 0 1 1 0 B d C e Figure 4 6. Determine and justify whether there is Isomorphic for the graphs in Figure 5? b C $99 $129 2 $69 $129 E A Figure 5 7. The weighted graphs in the Figures 6 shows the fares between eight cities. Find a least expensive route regardless of the number of connections from San Francisco to Boston. Figure 6 D (b) 7 (d) Chicago B 5 $59 $99 5 Atlanta $69 $79 $79 S Miami 2 3 $99 Boston $39 New York
Transcribed Image Text:4. Find the graph for the following incidence matric. 5. Determine whether the four graphs in Figure 4 are Hamiltonian Path or Hamiltonian circuit? g FARES San Francisco $39 C A $89 D Los Angeles a (a) O 1 1 0000 00 1 0 1 00001 1 $89 Denver 101 000 0 1 0 1 1 0 B d C e Figure 4 6. Determine and justify whether there is Isomorphic for the graphs in Figure 5? b C $99 $129 2 $69 $129 E A Figure 5 7. The weighted graphs in the Figures 6 shows the fares between eight cities. Find a least expensive route regardless of the number of connections from San Francisco to Boston. Figure 6 D (b) 7 (d) Chicago B 5 $59 $99 5 Atlanta $69 $79 $79 S Miami 2 3 $99 Boston $39 New York
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