WorldCat Identities

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
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Most widely held works about John William Theodore Youngs
 
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

Proof of the Heawood conjecture for non-orientable 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 non-orientable surface which is a sphere with q cross-caps 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 map-coloring 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)
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 two-manifolds 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 map--coloring 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
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)
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

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

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)
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

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

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

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

Heawood Map-Coloring 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

Heawood Map-Coloring 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

The determination of many-commodity preference scales by two-commodity 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
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
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

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
 
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Audience level: 0.69 (from 0.43 for UCSC neigh ... to 0.99 for The determ ...)

Alternative Names
John William Theodore Youngs American mathematician

John William Theodore Youngs Amerikaans wiskundige (1910-1970)

John William Theodore Youngs amerikansk matematikar

John William Theodore Youngs amerikansk matematiker

John William Theodore Youngs matemático estadounidense

John William Theodore Youngs US-amerikanischer Mathematiker

Youngs, J. W. T.

Youngs, J. W. T. 1910-

Youngs, J. W. T. (John William Theodore), 1910-

Languages
English (64)