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A representative of a company finds it convenient to travel to eight cities, denoted by c1, c2, ..., C8. Her favorite airline has direct routes between various pairs of these cities. In particular, there are direct routes from ci to c3, C4, C7 and back again, which we denote by c1: C 3, C 4, C 7. The complete set of direct routes is C1: C3, C4, C 7; C2: C4, C8; C3: C6, C8; C4: C5, C7; C5: C6, C7. Model this situation by a graph G whose vertex set consists of these eight cities. Two vertices (cities) of G are adjacent if there is a direct flight between these two cities. What are the order and size of this graph?

A representative of a company finds it convenient to travel to eight cities, denoted by c1, c2, ..., C8. Her favorite airline has direct routes between various pairs of these cities. In particular, there are direct routes from ci to c3, C4, C7 and back again, which we denote by c1: C 3, C 4, C 7. The complete set of direct routes is C1: C3, C4, C 7; C2: C4, C8; C3: C6, C8; C4: C5, C7; C5: C6, C7. Model this situation by a graph G whose vertex set consists of these eight cities. Two vertices (cities) of G are adjacent if there is a direct flight between these two cities. What are the order and size of this graph?

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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(18) A representative of a company finds it convenient to travel to eight cities, denoted by c1, c2, ..., C8. Her favorite airline has direct routes between various pairs of these cities. In particular, there are direct routes from ci to c3, C4, C7 and back again, which we denote by c1: C 3, C 4, C 7. The complete set of direct routes is C1: C3, C4, C 7; C2: C4, C8; C3: C6,C8; C4: C5,C7; C5: C6,C7. Model this situation by a graph G whose vertex set consists of these eight cities. Two vertices (cities) of G are adjacent if there is a direct flight between these two cities. What are the order and size of this graph?
Transcribed Image Text:(18) A representative of a company finds it convenient to travel to eight cities, denoted by c1, c2, ..., C8. Her favorite airline has direct routes between various pairs of these cities. In particular, there are direct routes from ci to c3, C4, C7 and back again, which we denote by c1: C 3, C 4, C 7. The complete set of direct routes is C1: C3, C4, C 7; C2: C4, C8; C3: C6,C8; C4: C5,C7; C5: C6,C7. Model this situation by a graph G whose vertex set consists of these eight cities. Two vertices (cities) of G are adjacent if there is a direct flight between these two cities. What are the order and size of this graph?
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