Results 11 to 20 of about 211,771 (176)
Wiring the senses: Factors that regulate peripheral axon pathfinding in sensory systems
Abstract Sensory neurons of the head are the ones that transmit the information about the external world to our brain for its processing. Axons from cranial sensory neurons sense different chemoattractant and chemorepulsive molecules during the journey and in the target tissue to establish the precise innervation with brain neurons and/or receptor ...
Gemma Nomdedeu‐Sancho, Berta Alsina
wiley +1 more source
Abstract Goodman proved that the sum of the number of triangles in a graph on n nodes and its complement is at least n3∕24
wiley +1 more source
Depth of almost strictly sign regular matrices
The concept of depth of an almost strictly sign regular matrix is introduced and used to simplify some algorithmic characterizations of these matrices.
Pedro Alonso+3 more
wiley +1 more source
Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
Abstract Over the past several decades, research in the cognitive sciences has foregrounded the importance of active bodies and their continuous dependence on the changing environment, strengthening the relevance of dynamical models. These models have been steadily developed within the ecological psychology approach to cognition, which arguably ...
Joanna Rączaszek‐Leonardi
wiley +1 more source
Integrable Combinatorics [PDF]
We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalborg, Denmark, August 10, 2012.)Comment: 21 pages, 16 figures, proceedings ...
Di Francesco, Philippe
core +1 more source
Short proofs of some extremal results [PDF]
We prove several results from different areas of extremal combinatorics, giving complete or partial solutions to a number of open problems. These results, coming from areas such as extremal graph theory, Ramsey theory and additive combinatorics, have ...
Beck+11 more
core +5 more sources
Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux
We study the combinatorics of Gr\"obner degenerations of Grassmannians and the Schubert varieties inside them. We provide a family of binomial ideals whose combinatorics is governed by tableaux induced by matching fields in the sense of Sturmfels and ...
Clarke, Oliver, Mohammadi, Fatemeh
core +1 more source
Polyhedral Combinatorics of UPGMA Cones [PDF]
Distance-based methods such as UPGMA (Unweighted Pair Group Method with Arithmetic Mean) continue to play a significant role in phylogenetic research. We use polyhedral combinatorics to analyze the natural subdivision of the positive orthant induced by ...
Davidson, Ruth, Sullivant, Seth
core +2 more sources
Positional games are a branch of combinatorics, researching a variety of two-player games, ranging from popular recreational games such as Tic-Tac-Toe and Hex, to purely abstract games played on graphs and hypergraphs.
Krivelevich, Michael
core +1 more source