Youngs, John William Theodore 1910
Overview
Works:  20 works in 64 publications in 1 language and 395 library holdings 

Genres:  Interviews Archives 
Roles:  Author 
Classifications:  QA3, 510.8 
Publication Timeline
.
Most widely held works by
John William Theodore Youngs
The representation problem for Fréchet surfaces by
John William Theodore Youngs(
Book
)
29 editions published between 1951 and 1981 in English and held by 194 WorldCat member libraries worldwide
29 editions published between 1951 and 1981 in English and held by 194 WorldCat member libraries worldwide
Proof of the Heawood conjecture for nonorientable surfaces by
John William Theodore Youngs(
Book
)
4 editions published between 1969 and 1970 in English and held by 40 WorldCat member libraries worldwide
The paper provides a proof of the fact that the chromatic number of the nonorientable surface which is a sphere with q crosscaps is the integral part of (7 + the(square root of (1+24q))/2), unless q = 2. In the exceptional case the chromatic number is 6. (Author)
4 editions published between 1969 and 1970 in English and held by 40 WorldCat member libraries worldwide
The paper provides a proof of the fact that the chromatic number of the nonorientable surface which is a sphere with q crosscaps is the integral part of (7 + the(square root of (1+24q))/2), unless q = 2. In the exceptional case the chromatic number is 6. (Author)
The Heawood mapcoloring problem, cases 3, 5, 6, and 9 by
John William Theodore Youngs(
Book
)
3 editions published in 1969 in English and held by 21 WorldCat member libraries worldwide
A proof of Heawood's conjecture that the chromatic number of an orientable surface of genus p is equal to the integral part of (7 + the square root of 1 + 48p)/2 whenever the expression is congruent to 3, 5, 6, or 9 modulo 12. Proof of Heawood's theorem involves twelve special cases. This memorandum presents the proof for cases 3, 5, 6, and 9. (Author)
3 editions published in 1969 in English and held by 21 WorldCat member libraries worldwide
A proof of Heawood's conjecture that the chromatic number of an orientable surface of genus p is equal to the integral part of (7 + the square root of 1 + 48p)/2 whenever the expression is congruent to 3, 5, 6, or 9 modulo 12. Proof of Heawood's theorem involves twelve special cases. This memorandum presents the proof for cases 3, 5, 6, and 9. (Author)
The Heawood map coloring conjecture by
John William Theodore Youngs(
Book
)
3 editions published between 1964 and 1966 in English and held by 20 WorldCat member libraries worldwide
The four color conjecture for a sphere is a famous unsolved problem, and the only information available today is that the chromatic number of a sphere is either four or five. On the other hand, it has been known for threequarters of a century that the chromatic number of a torus is seven. The memorandum is concerned with the chromatic number of orientable twomanifolds of positive genus. The problem is not completely solved, but considerable progress has been made in the past few years. This study reports on current results and, above all, on methods that have been employed. (Author)
3 editions published between 1964 and 1966 in English and held by 20 WorldCat member libraries worldwide
The four color conjecture for a sphere is a famous unsolved problem, and the only information available today is that the chromatic number of a sphere is either four or five. On the other hand, it has been known for threequarters of a century that the chromatic number of a torus is seven. The memorandum is concerned with the chromatic number of orientable twomanifolds of positive genus. The problem is not completely solved, but considerable progress has been made in the past few years. This study reports on current results and, above all, on methods that have been employed. (Author)
The Heawood mapcoloring problem: cases 1, 7, and 10 by
John William Theodore Youngs(
Book
)
4 editions published in 1969 in English and held by 19 WorldCat member libraries worldwide
The paper gives a proof of Heawood's conjecture that the chromatic number of an orientable surface of genus p is equal to the integral part of (7 + the square root of 1 + 48p)/2 whenever the expression is congruent to 1, 7, or 10 modulo 12. Proof of Heawood's theorem involves twelve special cases. This memorandum presents the proof for cases 1, 7, and 10
4 editions published in 1969 in English and held by 19 WorldCat member libraries worldwide
The paper gives a proof of Heawood's conjecture that the chromatic number of an orientable surface of genus p is equal to the integral part of (7 + the square root of 1 + 48p)/2 whenever the expression is congruent to 1, 7, or 10 modulo 12. Proof of Heawood's theorem involves twelve special cases. This memorandum presents the proof for cases 1, 7, and 10
The genus of K₁₂s by
John William Theodore Youngs(
Book
)
2 editions published in 1966 in English and held by 15 WorldCat member libraries worldwide
This memorandum shows that K12s, the complete graph with 12s vertices, has genus (12s(2)  7s + 1) and thus establishes a portion of the complete graph conjecture. (Author)
2 editions published in 1966 in English and held by 15 WorldCat member libraries worldwide
This memorandum shows that K12s, the complete graph with 12s vertices, has genus (12s(2)  7s + 1) and thus establishes a portion of the complete graph conjecture. (Author)
Simplest imbeddings of the complete 12 graph by
John William Theodore Youngs(
Book
)
2 editions published in 1961 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1961 in English and held by 7 WorldCat member libraries worldwide
Minimal imbeddings and the genus of a graph by
John William Theodore Youngs(
Book
)
2 editions published in 1962 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1962 in English and held by 7 WorldCat member libraries worldwide
Isobars and antipodes by
John William Theodore Youngs(
Book
)
2 editions published in 1958 in English and held by 6 WorldCat member libraries worldwide
On any typical weather map of the world some isobars are small in size while others appear quite extensive. Around a low or a high pressure area the isobars usually appear as small closed curves, while between low and high pressure areas some isobars appear to be very long. This paper shows that some isobars must be long enough to contain an antipodal pair of points. The proof is deceptively short and simple, a condition brought about by the use of some of the most powerful tools in topology. (Author)
2 editions published in 1958 in English and held by 6 WorldCat member libraries worldwide
On any typical weather map of the world some isobars are small in size while others appear quite extensive. Around a low or a high pressure area the isobars usually appear as small closed curves, while between low and high pressure areas some isobars appear to be very long. This paper shows that some isobars must be long enough to contain an antipodal pair of points. The proof is deceptively short and simple, a condition brought about by the use of some of the most powerful tools in topology. (Author)
Remarks on the genus of a complete graph by
John William Theodore Youngs(
Book
)
2 editions published in 1961 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1961 in English and held by 6 WorldCat member libraries worldwide
The imbedding of graphs in manifolds by
Louis Auslander(
Book
)
2 editions published in 1962 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1962 in English and held by 5 WorldCat member libraries worldwide
Printed circuits, graphs, and manifolds by
John William Theodore Youngs(
Book
)
1 edition published in 1959 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1959 in English and held by 5 WorldCat member libraries worldwide
The prediction of demand for aircraft spare parts using the method of conditional probabilities by
John William Theodore Youngs(
Book
)
1 edition published in 1955 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1955 in English and held by 4 WorldCat member libraries worldwide
Heawood MapColoring Problem  Cases 3,5,6, and 9. Part 2 by
Rand Corporation(
Book
)
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
Heawood MapColoring Problem  Cases 1,7, and 10. Part 1 by
Rand Corporation(
Book
)
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
The determination of manycommodity preference scales by twocommodity comparisons(
Book
)
1 edition published in 1948 in English and held by 1 WorldCat member library worldwide
It is the purpose of the paper to show that, under the assumptions usually made in economic literature, the determination of a preference scale relating to many commodities can always be accomplished by means of comparisons involving the variation of only two commodities at a time
1 edition published in 1948 in English and held by 1 WorldCat member library worldwide
It is the purpose of the paper to show that, under the assumptions usually made in economic literature, the determination of a preference scale relating to many commodities can always be accomplished by means of comparisons involving the variation of only two commodities at a time
UCSC neighbors(
Recording
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
KSCO radio show featuring interviews with early UCSC faculty, administrators and staff
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
KSCO radio show featuring interviews with early UCSC faculty, administrators and staff
The representations problems for fréchet surfaces by
John William Theodore Youngs(
)
1 edition published in 1951 in English and held by 1 WorldCat member library worldwide
1 edition published in 1951 in English and held by 1 WorldCat member library worldwide
Papers by
Tibor Radó(
)
in English and held by 1 WorldCat member library worldwide
Committees; correspondence; manuscripts; mathematical problems; reviews and references; seminar notes. Chief correspondents include: C. Caratheodory, S. Eilenberg, H. Federer, M. Morse, P. Reichelderfer, F. Springer, J.W.T. Youngs
in English and held by 1 WorldCat member library worldwide
Committees; correspondence; manuscripts; mathematical problems; reviews and references; seminar notes. Chief correspondents include: C. Caratheodory, S. Eilenberg, H. Federer, M. Morse, P. Reichelderfer, F. Springer, J.W.T. Youngs
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Related Identities
 Rand Corporation
 RAND CORP SANTA MONICA CALIF
 Auslander, Louis Author
 Brown, Thomas A.
 Brown, B. B.
 U.S. Air Force. Directorate of Operational Requirements and Development Plans
 Geisler, Murray A. (Murray Aaron) 1917
 American Mathematical Society
 Springer, Ferdinand
 Morley, S. Griswold (Sylvanus Griswold) 18781970
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Associated Subjects
AirplanesMaintenance and repair AirplanesParts Air pressure Algebraic topology Carnap, Rudolf, Chaney, Ralph W.(Ralph Works), Conditional expectations (Mathematics) Davis, Raymond Earl, Elston, Arnold, Embeddings (Mathematics) Evans, Herbert M.(Herbert McLean), Fourcolor problem Fréchet spaces Friedländer, Paul, Graph theory Karcz, Jerzy F Kaufman, Arnold S.(Arnold Saul), Kirk, Paul L.(Paul Leland), MacSwain, J. W.(John Winslow), Manifolds (Mathematics) Mapcoloring problem Mathematics Miller, Loye, Montague, Richard, Morley, S. Griswold(Sylvanus Griswold), Motzkin, Theodore S.(Theodore Samuel), Negative binomial distribution O'Malley, Charles Donald Pipes, Louis A.(Louis Albert), Printed circuits Radó, Tibor, Smith, Page Stanley, Wendell M.(Wendell Meredith), Surfaces Surfaces, Representation of Thimann, Kenneth Vivian, Tjerandsen, Carl Topological imbeddings Topological manifolds Topology Universities and collegesFaculty University of California, Berkeley University of California, Santa Cruz
Alternative Names
John William Theodore Youngs American mathematician
John William Theodore Youngs Amerikaans wiskundige (19101970)
John William Theodore Youngs amerikansk matematikar
John William Theodore Youngs amerikansk matematiker
John William Theodore Youngs matemático estadounidense
John William Theodore Youngs USamerikanischer Mathematiker
Youngs, J. W. T.
Youngs, J. W. T. 1910
Youngs, J. W. T. (John William Theodore), 1910
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