## Random Geometric Graphs

*Mathew Penrose*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506263
- eISBN:
- 9780191707858
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506263.001.0001
- Subject:
- Mathematics, Probability / Statistics

This book sets out a body of rigorous mathematical theory for finite graphs with nodes placed randomly in Euclidean d-space according to a common probability density, and edges added to connect ... More

## PRODUCTS AND RETRACTS

*Pavol Hell and Jaroslav Nešetřil*

### in Graphs and Homomorphisms

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528173
- eISBN:
- 9780191713644
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528173.003.0002
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter focuses on certain basic constructions that occur frequently in the rest of the book, emphasizing the product and the retract, but also considering other constructs. These include the ... More

## MAXIMUM DEGREE, CLIQUES, AND COLOURINGS

*Mathew Penrose*

### in Random Geometric Graphs

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506263
- eISBN:
- 9780191707858
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506263.003.0006
- Subject:
- Mathematics, Probability / Statistics

This chapter is concerned with maximum degree, clique number, and chromatic number. A focusing (i.e., two-point concentration) phenomenon is demonstrated for the distribution of the maximum degree in ... More

## ORBIT COUNTING AND THE TUTTE POLYNOMIAL

*Peter J. Cameron*

### in Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198571278
- eISBN:
- 9780191718885
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571278.003.0001
- Subject:
- Mathematics, Probability / Statistics

This chapter summarizes the various attempts to extend the Tutte polynomial of a matroid to a polynomial which counts orbits of a group on various sets of objects that the usual Tutte polynomial ... More

## Chromatic Tonal Spacesm

*Fred Lerdahl*

### in Tonal Pitch Space

- Published in print:
- 2005
- Published Online:
- May 2008
- ISBN:
- 9780195178296
- eISBN:
- 9780199870370
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195178296.003.0006
- Subject:
- Music, Theory, Analysis, Composition

This chapter extends the diatonic model of Chapter 2 to chromatic spaces that are relevant to the music of the late 19th and early 20th centuries. First, the evolution of pitch space is demonstrated ... More

## Duke Bluebeard's Castle: Toward Character Reversal: Reassignment of Pentatonic and Whole‐Tone Spheres

*Elliott Antokoletz*

### in Musical Symbolism in the Operas of Debussy and Bartok

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780195365825
- eISBN:
- 9780199868865
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195365825.003.0010
- Subject:
- Music, Opera

This chapter looks at Doors II (Armoury), III (Treasure Chamber), and IV (Garden) and develops Judith's “Fate” motif and the leitmotif of Stefi Geyer, including the transformation between Judith's ... More

## Accentuation in Practice

*Clive Brown*

### in Classical and Romantic Performing Practice 1750-1900

- Published in print:
- 1999
- Published Online:
- May 2008
- ISBN:
- 9780198161653
- eISBN:
- 9780191716263
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198161653.003.0003
- Subject:
- Music, Ethnomusicology, World Music

This chapter investigates the relationship between theory and practice in accentuation. It deals with the ways in which notation may imply accentuation where it is not explicitly indicated, for ... More

## Piano Concerto

*David Manning*

### in Vaughan Williams on Music

- Published in print:
- 2007
- Published Online:
- October 2011
- ISBN:
- 9780195182392
- eISBN:
- 9780199851485
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195182392.003.0084
- Subject:
- Music, History, Western

The first two movements of the Piano Concerto were sketched in 1926, and the third movement in 1930. The work is dedicated to Miss Harriet Cohen. There are three movements: Toccata leading to Romanza ... More

## Op. 50 (1787)

*Floyd Grave and Margaret Grave*

### in The String Quartets of Joseph Haydn

- Published in print:
- 2006
- Published Online:
- May 2008
- ISBN:
- 9780195173574
- eISBN:
- 9780199872152
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195173574.003.0013
- Subject:
- Music, History, Western

Dedicated to Friedrich Wilhelm II and known as the “Prussian” quartets, these difficult works were clearly designed for connoisseurs. Their sale and early publication history involved complex, ... More

## Op. 54/55 (1788)

*Floyd Grave and Margaret Grave*

### in The String Quartets of Joseph Haydn

- Published in print:
- 2006
- Published Online:
- May 2008
- ISBN:
- 9780195173574
- eISBN:
- 9780199872152
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195173574.003.0014
- Subject:
- Music, History, Western

Noted for timbral brilliance and an accent on taxing first-violin delivery, this set, Op. 54/55, is traditionally linked to the violinist Johann Tost, who served as a middleman in its sale. ... More