Below is a political map of Europe. This map shows all theEuropean countries plus a few neighboring countries in thecontinents of Africa, Asia, and North America (Greenland). In all,there are 50 distinct countries labeled on the map. As is typicalin this type of map, several different colors are used to make iteasy to distinguish between adjacent countries. Disregarding thecoloring scheme that was actually used for this particular map,

what is the minimum number of differentcolors that must be used to ensure that no two adjacent countriesare the same color?

Based on your answer to the previous question (you can backtrackto that question if you forgot your answer) concerning the mapshown below, what is the size of the state space if commutativeproblem states are not filtered out?

In reference to the map used for the previous two questions (andshown below), what heuristic would likely be the best one to usefor determining the first country to color?Justify your answer.

Transcribed Image Text:

A Coruña Porto Belfa Dublin IRELAND Celtic Sea Bay of Biscay KINGDOM Cardiff Guernsey A, Jersey A Leeds Manchester Liverpool Bilbao English Chamel Zaragoza Birmingham Amsterdam London Nantes Berdeaux Sea ANDORRA Paris FRANCE Toulouse Rotterda Essen Leipzig, Cologne Brussels Lille BELBGERMANY LUX Strasbourg "Lyon Andorra, Ja Vella Marseille Copenha MONACO Luxembourg Turin thagen zgrich Bera Genev SWITZ Hamburg Frankfurt am Main Beemen Berlin Poznan Stuttgart Munich Ligurian Sea HITCH. Milan Venice Genoa Malmo Bornholm Kaliningrad Cdatsk Prague CZECH REPUBLIC Brno, AUSTRIA SLOVENIA Vienna Terence ITALY POLAND Lodi Wroclaw jubljana Bratislava Adriatic Sea Warsaw Beest Kraków SLOVAKIA Vilnius Budapest HUNGARY Zagreb BOSNIA AND Belgrade CROANA HERZEGOVINA SAY СНОЎЦА PLARING Sarajevo Hrodna Mahilyow Minsk BELARUS "L'viv Cluj- Napoca EVE SERBIA AND SMONTENDORO Chernivtsi Rivne Horyet- UKRAINE Skopje lapl MOLDOVA ROMANIA Bucharest *Sofia Klev Chisinau BULGARIA Mykolayi Varna, Jodesa Constanţa Black Sea Istanbuty A Coruña Porto Belfa Dublin IRELAND Celtic Sea Bay of Biscay KINGDOM Cardiff Guernsey A, Jersey A Leeds Manchester Liverpool Bilbao English Chamel Zaragoza Birmingham Amsterdam London Nantes Berdeaux Sea ANDORRA Paris FRANCE Toulouse Rotterda Essen Leipzig, Cologne Brussels Lille BELBGERMANY LUX Strasbourg "Lyon Andorra, Ja Vella Marseille Copenha MONACO Luxembourg Turin thagen zgrich Bera Genev SWITZ Hamburg Frankfurt am Main Beemen Berlin Poznan Stuttgart Munich Ligurian Sea HITCH. Milan Venice Genoa Malmo Bornholm Kaliningrad Cdatsk Prague CZECH REPUBLIC Brno, AUSTRIA SLOVENIA Vienna Terence ITALY POLAND Lodi Wroclaw jubljana Bratislava Adriatic Sea Warsaw Beest Kraków SLOVAKIA Vilnius Budapest HUNGARY Zagreb BOSNIA AND Belgrade CROANA HERZEGOVINA SAY СНОЎЦА PLARING Sarajevo Hrodna Mahilyow Minsk BELARUS "L'viv Cluj- Napoca EVE SERBIA AND SMONTENDORO Chernivtsi Rivne Horyet- UKRAINE Skopje lapl MOLDOVA ROMANIA Bucharest *Sofia Klev Chisinau BULGARIA Mykolayi Varna, Jodesa Constanţa Black Sea Istanbuty

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To address the questions we can use some wellknown principles from graph theory particularly the Fou... View the full answer