Construct a graph from this map where the vertices are the cities and are connected by an edge if the cities share boundaries. Determine the least number of colors needed to re-color the map such that no two areas that share boundaries have the same color.
Construct a graph from this map where the vertices are the cities and are connected by an edge if the cities share boundaries. Determine the least number of colors needed to re-color the map such that no two areas that share boundaries have the same color.
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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http://1.bp.blogspot.com/-_oz7NidtZUw/VT9p-cTflFI/AAAAAAAAAbQ/osdMcO15L-w/s1600/ncr%2Bmap1.jpg
- Construct a graph from this map where the vertices are the cities and are connected by an edge if the cities share boundaries.
- Determine the least number of colors needed to re-color the map such that no two areas that share boundaries have the same color.

Transcribed Image Text:CALOOCAN
(NORTH)
VALENZUELA
MALABON
QUEZON CITY
CALOOCAN
MARIKINA
MANILA
SAN JUAN
MANDALUYONG-
PASIG
МАКАTI
PASAY
PATEROS
MANILA BAY
TAGUIG
PARAÑAQUE
LAGUNA
de BAY
МАР
NCR
NAVOTAS
LAS PIÑAS
MUNTINLUPA
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