# Graphs, Colourings and the Four-Colour Theorem

## Wilson, Robert A.

Valutazione media 4
( su 1 valutazioni fornite da GoodReads )

The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable maps, in such a way that countries with a common border are coloured with different colours.

The book discusses various attempts to solve this problem, and some of the mathematics which developed out of these attempts. Much of this mathematics has developed a life of its own, and forms a fascinating part of the subject now known as graph theory.

The book is designed to be self-contained, and develops all the graph-theoretical tools needed as it goes along. It includes all the elementary graph theory that should be included in an introduction to the subject, before concentrating on specific topics relevant to the four-colour problem.

Part I covers basic graph theory, Euler's polyhedral formula, and the first published false `proof' of the four-colour theorem. Part II ranges widely through related topics, including map-colouring on surfaces with holes, the famous theorems of Kuratowski, Vizing, and Brooks, the conjectures of Hadwiger and Hajos, and much more besides. In Part III we return to the four-colour theorem, and study in detail the methods which finally cracked the problem.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

This is a lively and readable account of one of the great problems of mathematics and its solution and can be recommended to all readers who are interested and prepared to make the effort to follow it. ( The Mathematical Gazette)

... it will please every reader. And last but not least, it is a thin book, which will not eat much space in your library; the contents to weight ratio is well above the average. ( EMS)

Contenuti:

• Preface
• Part I - Graphs, Maps and the four-colour theorem1: Introduction
• 2: Basic Graph Theory
• 3: Applications of Euler's formula
• 4: Kempe's approach
• Part II - Related Topics5: Other approaches to the four-colour theorem
• 6: Maps on surfaces with holes
• 7: Kuratowski's theorem
• 8: Colouring non-planar graphs
• PArt III - How to prove the four-colour theorem9: Overview
• 10: Reducibility
• 11: Discharging
• Bibliography
• Index

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 45,67

Spese di spedizione: EUR 3,45
Da: Regno Unito a: U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

## 1.Graphs, Colourings and the Four-Colour Theorem

Editore: OUP Oxford 2002-01 (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Quantità: 5
Print on Demand
Da
Chiron Media
(Wallingford, Regno Unito)
Valutazione libreria

Descrizione libro OUP Oxford 2002-01, 2002. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06914452

Compra nuovo
EUR 45,67
Convertire valuta
Spese di spedizione: EUR 3,45
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 2.Graphs, Colourings and the Four-colour Theorem (Paperback)

Editore: Oxford University Press, United Kingdom (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 10
Print on Demand
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro Oxford University Press, United Kingdom, 2002. Paperback. Condizione libro: New. 236 x 157 mm. Language: English Brand New Book ***** Print on Demand *****.The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable maps, in such a way that countries with a common border are coloured with different colours. The book discusses various attempts to solve this problem, and some of the mathematics which developed out of these attempts. Much of this mathematics has developed a life of its own, and forms a fascinating part of the subject now known as graph theory. The book is designed to be self-contained, and develops all the graph-theoretical tools needed as it goes along. It includes all the elementary graph theory that should be included in an introduction to the subject, before concentrating on specific topics relevant to the four-colour problem. Part I covers basic graph theory, Euler s polyhedral formula, and the first published false proof of the four-colour theorem. Part II ranges widely through related topics, including map-colouring on surfaces with holes, the famous theorems of Kuratowski, Vizing, and Brooks, the conjectures of Hadwiger and Hajos, and much more besides. In Part III we return to the four-colour theorem, and study in detail the methods which finally cracked the problem. Codice libro della libreria AAV9780198510628

Compra nuovo
EUR 52,43
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 3.Graphs, Colourings and the Four-colour Theorem (Paperback)

Editore: Oxford University Press, United Kingdom (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 10
Print on Demand
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro Oxford University Press, United Kingdom, 2002. Paperback. Condizione libro: New. 236 x 157 mm. Language: English . Brand New Book ***** Print on Demand *****. The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable maps, in such a way that countries with a common border are coloured with different colours. The book discusses various attempts to solve this problem, and some of the mathematics which developed out of these attempts. Much of this mathematics has developed a life of its own, and forms a fascinating part of the subject now known as graph theory. The book is designed to be self-contained, and develops all the graph-theoretical tools needed as it goes along. It includes all the elementary graph theory that should be included in an introduction to the subject, before concentrating on specific topics relevant to the four-colour problem. Part I covers basic graph theory, Euler s polyhedral formula, and the first published false proof of the four-colour theorem. Part II ranges widely through related topics, including map-colouring on surfaces with holes, the famous theorems of Kuratowski, Vizing, and Brooks, the conjectures of Hadwiger and Hajos, and much more besides. In Part III we return to the four-colour theorem, and study in detail the methods which finally cracked the problem. Codice libro della libreria AAV9780198510628

Compra nuovo
EUR 52,64
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 4.Graphs, Colourings and the Four-Colour Theorem

Editore: OUP Oxford (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro OUP Oxford, 2002. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780198510628

Compra nuovo
EUR 48,46
Convertire valuta
Spese di spedizione: EUR 10,38
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 5.Graphs, Colourings and the Four-Colour Theorem

Editore: OUP Oxford (2016)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria

Descrizione libro OUP Oxford, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780198510628_lsuk

Compra nuovo
EUR 56,56
Convertire valuta
Spese di spedizione: EUR 3,85
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 6.Graphs, Colourings and the Four-Colour Theorem

Editore: OUP Oxford (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Quantità: > 20
Print on Demand
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria

Descrizione libro OUP Oxford, 2002. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780198510628

Compra nuovo
EUR 57,79
Convertire valuta
Spese di spedizione: EUR 3,68
In U.S.A.
Destinazione, tempi e costi

## 7.Graphs, Colourings and the Four-Colour Theorem (Oxford Science Publications)

Editore: Oxford University Press (2017)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 20
Print on Demand
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria

Descrizione libro Oxford University Press, 2017. Paperback. Condizione libro: New. This item is printed on demand. Codice libro della libreria 0198510624

Compra nuovo
EUR 72,06
Convertire valuta
Spese di spedizione: EUR 2,76
In U.S.A.
Destinazione, tempi e costi

## 8.Graphs, Colourings and the Four-Colour Theorem (Oxford Science Publications)

Editore: Oxford University Press (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria

Descrizione libro Oxford University Press, 2002. Paperback. Condizione libro: New. book. Codice libro della libreria 0198510624

Compra nuovo
EUR 77,65
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

## 9.Graphs, Colourings and the Four-Colour Theorem (Oxford Science Publications)

Editore: Oxford University Press, USA (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Oxford University Press, USA, 2002. Paperback. Condizione libro: New. Codice libro della libreria DADAX0198510624

Compra nuovo
EUR 74,00
Convertire valuta
Spese di spedizione: EUR 3,68
In U.S.A.
Destinazione, tempi e costi

## 10.Graphs, Colourings and the Four-Colour Theorem (Oxford Science Publications)

Editore: Oxford Univ Pr on Demand (2002)
ISBN 10: 0198510624 ISBN 13: 9780198510628
Nuovi Paperback Quantità: 1
Da
Revaluation Books
(Exeter, Regno Unito)
Valutazione libreria

Descrizione libro Oxford Univ Pr on Demand, 2002. Paperback. Condizione libro: Brand New. illustrated edition. 154 pages. 9.00x6.00x0.50 inches. In Stock. Codice libro della libreria __0198510624

Compra nuovo
EUR 80,57
Convertire valuta
Spese di spedizione: EUR 6,92
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi