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le connected zones of Hamilton are shown in a planar map, in the following Fig.1. Draw the planar graph for the following map (in Fig. 1) of multiple connected zones. Find out the minimum number of frequencies needs to be used using graph theory, so that different zones of the following planar map are assigned with different frequencies (i.e., each zone operates at one single frequency) in such a way that no adjacent zones (i.e., zones with common borders) use the same frequency? The frequencies available for use are 10 GHz, 20 GHz, 40 GHz, 60 G

le connected zones of Hamilton are shown in a planar map, in the following Fig.1. Draw the planar graph for the following map (in Fig. 1) of multiple connected zones. Find out the minimum number of frequencies needs to be used using graph theory, so that different zones of the following planar map are assigned with different frequencies (i.e., each zone operates at one single frequency) in such a way that no adjacent zones (i.e., zones with common borders) use the same frequency? The frequencies available for use are 10 GHz, 20 GHz, 40 GHz, 60 G

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The multiple connected zones of Hamilton are shown in a planar map, in the following Fig.1. Draw
the planar graph for the following map (in Fig. 1) of multiple connected zones. Find out the minimum number
of frequencies needs to be used using graph theory, so that different zones of the following planar map are
assigned with different frequencies (i.e., each zone operates at one single frequency) in such a way that no
adjacent zones (i.e., zones with common borders) use the same frequency? The frequencies available for use
are 10 GHz, 20 GHz, 40 GHz, 60 GHz, 80 GHz, 100 GHz, 120 GHz, and 140 Hz. Show your detailed work.

Fig. 1: Spectrum division of Hamilton

Zone 3 Zone 1 Zone 2 Zone 6 Zone 4 Zone 7 Zone 5 Zone 8 Fig. 1: Spectrum division of Hamilton I
Transcribed Image Text:Zone 3 Zone 1 Zone 2 Zone 6 Zone 4 Zone 7 Zone 5 Zone 8 Fig. 1: Spectrum division of Hamilton I
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