Combinatorial Reciprocity Theorems Enumerative Combinatorics with a Polyhedral Angle

Matthias Beck & Raman Sanyal Combinatorial Reciprocity Theorems A Snapshot of Enumerative Combinatorics from a

The Building Game: From Enumerative Combinatorics to Conformational Diffusion

We study a discrete attachment model for the self-assembly of polyhedra called the building game.We investigate two distinct aspects of the model: (i) enumerative combinatorics of the intermediate states and (ii) a notion of Brownian motion for the polyhedral linkage defined by each intermediate that we term conformational diffusion. The combinatorial configuration space of the model is compute...

Recent Advances in Algebraic and Enumerative Combinatorics

Algebraic and enumerative combinatorics is concerned with objects that have both a combinatorial and an algebraic interpretation. It is a highly active area of the mathematical sciences, with many connections and applications to other areas, including algebraic geometry, representation theory, topology, mathematical physics and statistical mechanics. Enumerative questions arise in the mathemati...

Mathematisches Forschungsinstitut Oberwolfach Report No

Enumerative Combinatorics focusses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to the probabilistic analysis of large combinatorial structures and has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, graph theory and computer science. This workshop brought together experts from all these various fiel...

Combinatorial Reciprocity Theorems An Invitation To Enumerative Geometric Combinatorics

simplicial complex, 122, 136,164acyclic orientation, 5, 218affine hull, 52affine projection, 56alcoved polytope, 227alcoved triangulation, 228alcoves, 227Andrews, George, 125anti-isomorphic, 239anti-symmetric, 11antichain, 13, 28, 182antistar, 168Appel, Kenneth, 2, 20arrangement of hyperplanes, 59, 74, 215ascent, 171, 191big, 235<l...