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Using your original graph, is an Euler circuit possible? If not, Eulerize the graph and find an Euler circuit. Using your original graph, is a Hamiltonian circuit possible? If so, identify it.

Using your original graph, is an Euler circuit possible? If not, Eulerize the graph and find an Euler circuit. Using your original graph, is a Hamiltonian circuit possible? If so, identify it.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Use the table of the interstate distances between cities (in miles) to do the following ROCK Rockford ROCH Rochelle CHI JOL CHA EFF Chicago Joliet Champaign-Urbana Effingham Mount Vernon MTV ESTL SPR East St. Louis Springfield Lincoln LIN BN Bloomington-Normal Peoria PEO QC PERU Quad Cities Peru RCK RCH CHI JOL CHA EFF MTV ESTL SPR LIN BN PEO QC PERU 88 RCK RCH 32 32 81 88 48 CHI JOL CHA 88 81 45 45 107 91 61 107 83 92 56 EFF 83 69 98 MTV 69 75 ESTL SPR 98 75 93 92 93 38 LIN 38 45 45 45 45 BN 91 56 45 64 РЕO 45 93 QC 88 93 64 80 PERU 48 61 80
Transcribed Image Text:Use the table of the interstate distances between cities (in miles) to do the following ROCK Rockford ROCH Rochelle CHI JOL CHA EFF Chicago Joliet Champaign-Urbana Effingham Mount Vernon MTV ESTL SPR East St. Louis Springfield Lincoln LIN BN Bloomington-Normal Peoria PEO QC PERU Quad Cities Peru RCK RCH CHI JOL CHA EFF MTV ESTL SPR LIN BN PEO QC PERU 88 RCK RCH 32 32 81 88 48 CHI JOL CHA 88 81 45 45 107 91 61 107 83 92 56 EFF 83 69 98 MTV 69 75 ESTL SPR 98 75 93 92 93 38 LIN 38 45 45 45 45 BN 91 56 45 64 РЕO 45 93 QC 88 93 64 80 PERU 48 61 80
c) Design a trip, starting and ending in Peoria, that will visit the cities of East St Louis, Peru, Springfield, and Joliet; you also are planning a stop at two historic sites along the way. i) Draw your graph i) Find the path that will minimize your time; assume 70 mph travel along each edge and 30 mph from interstate to the historic site; use the Nearest Neighbor Algorithm. d) Using your original graph, is an Euler circuit possible? If not, Eulerize the graph and find an Euler circuit. e) Using your original graph, is a Hamiltonian circuit possible? If so, identify it. f) Add to your original graph the cities of Quincy and Marion. If Quincy to Springfield is 111 miles and Mount Vermon to Marion is 46 miles, find a minimum distance spanning tree using Kruskal's Algorithm.
Transcribed Image Text:c) Design a trip, starting and ending in Peoria, that will visit the cities of East St Louis, Peru, Springfield, and Joliet; you also are planning a stop at two historic sites along the way. i) Draw your graph i) Find the path that will minimize your time; assume 70 mph travel along each edge and 30 mph from interstate to the historic site; use the Nearest Neighbor Algorithm. d) Using your original graph, is an Euler circuit possible? If not, Eulerize the graph and find an Euler circuit. e) Using your original graph, is a Hamiltonian circuit possible? If so, identify it. f) Add to your original graph the cities of Quincy and Marion. If Quincy to Springfield is 111 miles and Mount Vermon to Marion is 46 miles, find a minimum distance spanning tree using Kruskal's Algorithm.
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