Ringel, Gerhard
Overview
Works:  30 works in 123 publications in 5 languages and 2,052 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee 
Classifications:  QA166, 511.5 
Publication Timeline
.
Most widely held works by
Gerhard Ringel
Pearls in graph theory : a comprehensive introduction by
Nora Hartsfield(
Book
)
33 editions published between 1988 and 2013 in English and held by 854 WorldCat member libraries worldwide
Improved by more than a dozen new exercises, an augmented section on labeling, the simplification of many proofs, and corrections suggested by classroom users and reviewers, this delightful text on graph theory retains and strengthens the appealing features of the original edition. It is an innovative and stimulating view of mathematics designed to appeal to teachers and students alike. Pearls in Graph Theory is based on twenty years of teaching by the leading researcher in graph theory. Unlike most texts on graph theory, this book is written in an informal style suitable for students in a variety of disciplines, though mathematics majors will find the material of sufficient depth and challenge. Covering major topics and theorems in graph theory, the text provides students with a solid foundation while keeping the material enjoyably accessible and entertaining. This course typically draws 50 to 70 students per year at the University of California, San Diego. The concrete nature of the topics, as well as the broad coverage of the field, allow the book to be used for a survey course at smaller schools with no undergraduate courses in graph theory. The only requirement is some mathematical maturity, about the level attained by a successful calculus student
33 editions published between 1988 and 2013 in English and held by 854 WorldCat member libraries worldwide
Improved by more than a dozen new exercises, an augmented section on labeling, the simplification of many proofs, and corrections suggested by classroom users and reviewers, this delightful text on graph theory retains and strengthens the appealing features of the original edition. It is an innovative and stimulating view of mathematics designed to appeal to teachers and students alike. Pearls in Graph Theory is based on twenty years of teaching by the leading researcher in graph theory. Unlike most texts on graph theory, this book is written in an informal style suitable for students in a variety of disciplines, though mathematics majors will find the material of sufficient depth and challenge. Covering major topics and theorems in graph theory, the text provides students with a solid foundation while keeping the material enjoyably accessible and entertaining. This course typically draws 50 to 70 students per year at the University of California, San Diego. The concrete nature of the topics, as well as the broad coverage of the field, allow the book to be used for a survey course at smaller schools with no undergraduate courses in graph theory. The only requirement is some mathematical maturity, about the level attained by a successful calculus student
Map color theorem by
Gerhard Ringel(
Book
)
23 editions published between 1974 and 1977 in 3 languages and held by 566 WorldCat member libraries worldwide
In 1890 P.J. Heawood [35] published a formula which he called the Map Colour Theorem. But he forgot to prove it. Therefore the world of mathematicians called it the Heawood Conjecture. In 1968 the formula was proven and therefore again called the Map Color Theorem. (This book is written in California, thus in American English.) Beautiful combinatorial methods were developed in order to prove the formula. The proof is divided into twelve cases. In 1966 there were three of them still unsolved. In the academic year 1967/68 J.W.T. Youngs on those three cases at Santa Cruz. Sur invited me to work with him prisingly our joint effort led to the solution of all three cases. It was a year of hard work but great pleasure. Working together was extremely profitable and enjoyable. In spite of the fact that we saw each other every day, Ted wrote a letter to me, which I present here in shortened form: Santa Cruz, March 1, 1968 Dear Gerhard: Last night while I was checking our results on Cases 2, 8 and 11, and thinking of the great pleasure we had in the afternoon with the extra ordinarily elegant new solution for Case 11, it seemed to me appropriate to pause for a few minutes and dictate a historical memorandum. We began working on Case 8 on 10 October 1967, and it was settled on Tuesday night, 14 November 1967
23 editions published between 1974 and 1977 in 3 languages and held by 566 WorldCat member libraries worldwide
In 1890 P.J. Heawood [35] published a formula which he called the Map Colour Theorem. But he forgot to prove it. Therefore the world of mathematicians called it the Heawood Conjecture. In 1968 the formula was proven and therefore again called the Map Color Theorem. (This book is written in California, thus in American English.) Beautiful combinatorial methods were developed in order to prove the formula. The proof is divided into twelve cases. In 1966 there were three of them still unsolved. In the academic year 1967/68 J.W.T. Youngs on those three cases at Santa Cruz. Sur invited me to work with him prisingly our joint effort led to the solution of all three cases. It was a year of hard work but great pleasure. Working together was extremely profitable and enjoyable. In spite of the fact that we saw each other every day, Ted wrote a letter to me, which I present here in shortened form: Santa Cruz, March 1, 1968 Dear Gerhard: Last night while I was checking our results on Cases 2, 8 and 11, and thinking of the great pleasure we had in the afternoon with the extra ordinarily elegant new solution for Case 11, it seemed to me appropriate to pause for a few minutes and dictate a historical memorandum. We began working on Case 8 on 10 October 1967, and it was settled on Tuesday night, 14 November 1967
Färbungsprobleme auf Flächen und Graphen by
Gerhard Ringel(
Book
)
20 editions published in 1959 in 3 languages and held by 215 WorldCat member libraries worldwide
20 editions published in 1959 in 3 languages and held by 215 WorldCat member libraries worldwide
Topics in combinatorics and graph theory : essays in honour of Gerhard Ringel by
Rainer Bodendiek(
Book
)
7 editions published in 1990 in English and held by 142 WorldCat member libraries worldwide
Graph Theory is a part of discrete mathematics characterized by the fact of an extremely rapid development during the last 10 years. The number of graph theoretical paper as well as the number of graph theorists increase very strongly. The main purpose of this book is to show the reader the variety of graph theoretical methods and the relation to combinatorics and to give him a survey on a lot of new results, special methods, and interesting informations. This book, which grew out of contributions given by about 130 authors in honour to the 70th birthday of Gerhard Ringel, one of the pioneers in graph theory, is meant to serve as a source of open problems, reference and guide to the extensive literature and as stimulant to further research on graph theory and combinatorics
7 editions published in 1990 in English and held by 142 WorldCat member libraries worldwide
Graph Theory is a part of discrete mathematics characterized by the fact of an extremely rapid development during the last 10 years. The number of graph theoretical paper as well as the number of graph theorists increase very strongly. The main purpose of this book is to show the reader the variety of graph theoretical methods and the relation to combinatorics and to give him a survey on a lot of new results, special methods, and interesting informations. This book, which grew out of contributions given by about 130 authors in honour to the 70th birthday of Gerhard Ringel, one of the pioneers in graph theory, is meant to serve as a source of open problems, reference and guide to the extensive literature and as stimulant to further research on graph theory and combinatorics
Aminoiminophosphane : ein Beitrag zur Chemie sterisch anspruchsvoller PhosphorStickstoffYlide der Koordinationszahl 2 by
Gerhard Ringel(
Book
)
7 editions published in 1977 in German and Undetermined and held by 22 WorldCat member libraries worldwide
7 editions published in 1977 in German and Undetermined and held by 22 WorldCat member libraries worldwide
Map color theorem ; with 176 figures by
Gerhard Ringel(
Book
)
1 edition published in 1974 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 17 WorldCat member libraries worldwide
Gurafu riron nyūmon(
Book
)
2 editions published in 1992 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 1992 in Japanese and held by 4 WorldCat member libraries worldwide
Graphentheorie : 12.6. bis 18.6.1988(
Book
)
2 editions published in 1988 in German and held by 3 WorldCat member libraries worldwide
T. Andreae, Berlin; D. Archdeacon, Burlington; H. J. Bandelt, Oldenburg; R. Bodendiek, Kiel; K. Cameron, Waterloo; W. Deuber, Bielefeld; R. Diestel, Cambridge; J. Edmonds, Waterloo; Y. Egawa, Tokyo; P. Erdös, Budapest; H. Fleischner, Wien; A. Frank, Budapest; M. Grätschel, Augsburg; R. Häggkvist, Stockholm; A. Hajnal, Budapest; R. Halin, Hamburg; N. A. Hartsfield, Santa Cruz; R. Henn, Karlsruhe; W. Imrich, Leoben; T. Ito, Joetsu; A. V. Kostochka, Novisibirsk; M. Las Vergnas, Paris; C. HC. Little, Palermston; L. Lovasz, Budapest; W. Mader, Hannover; J. Nesetril, Prag; H. Okamura, Osaka; B. Oporowski, Columbus; M. D. Plummer, Nashville; H.J. Prömel, Bonn; W. R. Pulleyblank, Waterloo; G. Ringel, Santa Cruz; N. Robertson, Columbus; G. Sabidussi, Montral; H. Sachs, Ilmenau; A. Schrijver, Tilburg; K. Steffens, Hannover; P. Terwilliger, Madison; R. Thomas, Columbus; W. W. Vogler, München; H. J. Voss, Dresden; T. Zamfirescu, Dortmund
2 editions published in 1988 in German and held by 3 WorldCat member libraries worldwide
T. Andreae, Berlin; D. Archdeacon, Burlington; H. J. Bandelt, Oldenburg; R. Bodendiek, Kiel; K. Cameron, Waterloo; W. Deuber, Bielefeld; R. Diestel, Cambridge; J. Edmonds, Waterloo; Y. Egawa, Tokyo; P. Erdös, Budapest; H. Fleischner, Wien; A. Frank, Budapest; M. Grätschel, Augsburg; R. Häggkvist, Stockholm; A. Hajnal, Budapest; R. Halin, Hamburg; N. A. Hartsfield, Santa Cruz; R. Henn, Karlsruhe; W. Imrich, Leoben; T. Ito, Joetsu; A. V. Kostochka, Novisibirsk; M. Las Vergnas, Paris; C. HC. Little, Palermston; L. Lovasz, Budapest; W. Mader, Hannover; J. Nesetril, Prag; H. Okamura, Osaka; B. Oporowski, Columbus; M. D. Plummer, Nashville; H.J. Prömel, Bonn; W. R. Pulleyblank, Waterloo; G. Ringel, Santa Cruz; N. Robertson, Columbus; G. Sabidussi, Montral; H. Sachs, Ilmenau; A. Schrijver, Tilburg; K. Steffens, Hannover; P. Terwilliger, Madison; R. Thomas, Columbus; W. W. Vogler, München; H. J. Voss, Dresden; T. Zamfirescu, Dortmund
Map Color Theorem by
Gerhard Ringel(
)
1 edition published in 1974 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 3 WorldCat member libraries worldwide
Beobachtungen während der Poliomyelitisepidemie 1948 am Krankenhaus I <Nordstadt> in Hannover by
Gerhard Ringel(
Book
)
2 editions published between 1949 and 1950 in German and held by 2 WorldCat member libraries worldwide
2 editions published between 1949 and 1950 in German and held by 2 WorldCat member libraries worldwide
Faerbungsprobleme auf Flaechen und Graphen by
Gerhard Ringel(
Book
)
2 editions published in 1959 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1959 in German and held by 2 WorldCat member libraries worldwide
Farbensatz für nichtorientierbare Flächen beliebigen Geschlechtes by
Gerhard Ringel(
Book
)
2 editions published between 1950 and 1951 in German and held by 2 WorldCat member libraries worldwide
2 editions published between 1950 and 1951 in German and held by 2 WorldCat member libraries worldwide
Graphentheorie 29. Juni bis 5. Juli 1969(
Book
)
2 editions published between 1969 and 1972 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1969 and 1972 in English and held by 2 WorldCat member libraries worldwide
Axiomatik der Elementargeometrie Ausarbeitung der von Prof. Dr. G. Ringel im Sommersemester 1964 an der Freien Universität
Berlin gehaltenen Vorlesung by
Gerhard Ringel(
Book
)
1 edition published in 1965 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1965 in German and held by 2 WorldCat member libraries worldwide
Graphentheorie 8.7. bis 14.7.1984(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Problems with empires : from recreation to research in mathematics by
Gerhard Ringel(
Recording
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Triangular imbedding of k@  k by
Richard K Guy(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
Budde & Goehde, G.m.b.H., Berlin u. Eberswalde 18781928 by
Gerhard Ringel(
Book
)
1 edition published in 1928 in German and held by 1 WorldCat member library worldwide
1 edition published in 1928 in German and held by 1 WorldCat member library worldwide
Graphentheorie 13.7. bis 19.7.1975(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Hartsfield, Nora Author
 Bodendiek, Rainer Editor
 Henn, Rudolf Editor
 Mader, Wolfgang Editor
 Гаврилов, Г. П Editor
 Алексеев, В. Б Translator
 鈴木, 晋一 1941
 Guy, Richard K. Author
 Wagner, Klaus 1910
 University of California, Santa Cruz
Useful Links
Alternative Names
Gerhard Ringel Amerikaans wiskundige (19192008)
Gerhard Ringel GermanAmerican mathematician
Gerhard Ringel matematico statunitense
Gerhard Ringel Mathematiker
Ringel, G.
Ringel, G. 19192008
リンゲル, G
杰拉德·林格尔
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