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- Nigel Ray, Julian West
- 1995

The enumeration of permutations with specific forbidden subsequences has applications in areas ranging from algebraic geometry to the study of sorting algorithms. We consider a ranked poset ofâ€¦ (More)

- Dietrich Notbohm, Nigel Ray
- 2003

For an arbitrary simplicial complex K , Davis and Januszkiewicz have defined a family of homotopy equivalent CW-complexes whose integral cohomology rings are isomorphic to the Stanley-Reisner algebraâ€¦ (More)

- Taras Panov, Nigel Ray, Rainer Vogt
- 2003

We study diagrams associated with a finite simplicial complex K, in various algebraic and topological categories. We relate their colimits to familiar structures in algebra, combinatorics, geometryâ€¦ (More)

- Yusuf Civan, Nigel Ray
- 2004

We describe Bott towers as sequences of toric manifolds M, and identify the omniorientations which correspond to their original construction as complex varieties. We show that the suspension of M isâ€¦ (More)

We study the torsion-free part of the stable homotopy groups of the space BU, by considering upper and lower bounds. The upper bound is furnished by the ring PK,(BU) of coaction primitives into whichâ€¦ (More)

- Nigel Ray
- 1992

In 1947, in a beautiful and influential paper [15], Tutte introduced a powerful algebraic framework for constructing invariants of multigraphs. This has spread increasing ripples down the years, andâ€¦ (More)

- Nigel Ray, William Schmitt
- 1997

We introduce a convenient category of combinatorial objects, known as cell-sets, on which we study the properties of the appropriate free abelian group functor. We obtain a versatile generalizationâ€¦ (More)

- Cristian Lenart, Nigel Ray
- Discrete Mathematics
- 1997

The theory of the umbral chromatic polynomial of a simplicial complex provides a combinatorial framework for the study of formal group laws over a commutative, torsion free ring, and our aim in thisâ€¦ (More)

- Cristian Lenart, Nigel Ray
- Discrete Mathematics
- 1998

Hopf algebras play a major rÃ´le in such diverse mathematical areas as algebraic topology, formal group theory, and theoretical physics, and they are achieving prominence in combinatorics through theâ€¦ (More)

- Nigel Ray, Colin Wright
- Discrete Mathematics
- 1992

Ray, N. and C. Wright, Umbra1 interpolation and the addition/contraction tree for graphs, Discrete Mathematics 103 (1992) 67-74. Given a finite graph G it is possible to define an umbra1 chromaticâ€¦ (More)