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SAL SI I For the graph to the right, complete parts (a) through (d). B J. K C I H (a) Find a Hamilton path that starts at B and ends at H. (Use a comma to separate vertices as needed.) (b) Find a Hamilton path that starts at F and ends at E. (Use a comma to separate vertices as needed.) (c) Explain why the graph has no Hamilton path that starts at I. Choose the correct answer below. O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. Click to select your answer(s).

SAL SI I For the graph to the right, complete parts (a) through (d). B J. K C I H (a) Find a Hamilton path that starts at B and ends at H. (Use a comma to separate vertices as needed.) (b) Find a Hamilton path that starts at F and ends at E. (Use a comma to separate vertices as needed.) (c) Explain why the graph has no Hamilton path that starts at I. Choose the correct answer below. O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. Click to select your answer(s).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(Use a comma to separate vertices as needed.) (c) Explain why the graph has no Hamilton path that starts at I. Choose the correct answer below, O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. O B. The vertex I is connected to 3 other vertices, and a Hamilton path must start at a vertex that is connected to at most 2 other vertices. O C. The vertex I is not part of any Hamilton paths because it is not connected to all of the other vertices. If one starts at I, one cannot go left or right without passing through another vertex. O D. The edge Cl is a bridge of the graph connected to a "left half" and a "right half." If one starts at I and goes left or right, there is no way to get to the other half of the graph without going through I again. (d) Explain why the graph has no Hamilton circuits. Choose the correct answer below, O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. O B. No matter where one starts, one would have to cross the bridge CI twice to visit evey vertex and get back to the starting point. O C. There are less than 12 vertices in the graph. O D. The graph is not a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. Click to select your answer(s). MacBook Air * F2 吕口 O00 F1 F3 000 F4 F5 F7 F9 FIC #3 2$ & 4 5 6 7 8 Q E Y A S D F K
Transcribed Image Text:(Use a comma to separate vertices as needed.) (c) Explain why the graph has no Hamilton path that starts at I. Choose the correct answer below, O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. O B. The vertex I is connected to 3 other vertices, and a Hamilton path must start at a vertex that is connected to at most 2 other vertices. O C. The vertex I is not part of any Hamilton paths because it is not connected to all of the other vertices. If one starts at I, one cannot go left or right without passing through another vertex. O D. The edge Cl is a bridge of the graph connected to a "left half" and a "right half." If one starts at I and goes left or right, there is no way to get to the other half of the graph without going through I again. (d) Explain why the graph has no Hamilton circuits. Choose the correct answer below, O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. O B. No matter where one starts, one would have to cross the bridge CI twice to visit evey vertex and get back to the starting point. O C. There are less than 12 vertices in the graph. O D. The graph is not a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. Click to select your answer(s). MacBook Air * F2 吕口 O00 F1 F3 000 F4 F5 F7 F9 FIC #3 2$ & 4 5 6 7 8 Q E Y A S D F K
For the graph to the right, complete parts (a) through (d). B J G K C I H (a) Find a Hamilton path that starts at B and ends at H. (Use a comma to separate vertices as needed.) (b) Find a Hamilton path that starts at F and ends at E. (Use a comma to separate vertices as needed.) (c) Explain why the graph has no Hamilton path that starts at I. Choose the correct answer below. O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. Click to select your answer(s). MacBook Air 14 F8 F9 F10 F4 F5 F6 F1 F3 $ % 2 3 6 7 8 9
Transcribed Image Text:For the graph to the right, complete parts (a) through (d). B J G K C I H (a) Find a Hamilton path that starts at B and ends at H. (Use a comma to separate vertices as needed.) (b) Find a Hamilton path that starts at F and ends at E. (Use a comma to separate vertices as needed.) (c) Explain why the graph has no Hamilton path that starts at I. Choose the correct answer below. O A. The graph is a complete graph with no loops or multiple edges such that any two distinct vertices are connected by an edge. Click to select your answer(s). MacBook Air 14 F8 F9 F10 F4 F5 F6 F1 F3 $ % 2 3 6 7 8 9
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