نتایج جستجو برای: tree complexes

تعداد نتایج: 306887  

Journal: :Discrete & Computational Geometry 2004
Dmitry N. Kozlov

This paper starts with an observation that two infinite series of simplicial complexes, which a priori do not seem to have anything to do with each other, have the same homotopy type. One series consists of the complexes of directed forests on a double directed string, while the other one consists of Shapiro–Welker models for the spaces of hyperbolic polynomials with a triple root. We explain t...

2015
GHODRATOLLAH AALIPOUR ART M. DUVAL WOONG KOOK KANG-JU LEE JEREMY L. MARTIN

We present a version of the weighted cellular matrix-tree theorem that is suitable for calculating explicit generating functions for spanning trees of highly structured families of simplicial and cell complexes. We apply the result to give weighted generalizations of the tree enumeration formulas of Adin for complete colorful complexes, and of Duval, Klivans and Martin for skeleta of hypercubes...

2015
Woong Kook Kang-Ju Lee

We give a new formula for the weighted high-dimensional tree-numbers of matroid complexes. This formula is derived from our result that the spectra of the weighted combinatorial Laplacians of matroid complexes consist of polynomials in the weights. In the formula, Crapo’s β-invariant appears as the key factor relating weighted combinatorial Laplacians and weighted tree-numbers for matroid compl...

2008
PATRICIA HERSH

In their work on ‘Coxeter-like complexes’, Babson and Reiner introduced a simplicial complex ∆T associated to each tree T on n nodes, generalizing chessboard complexes and type A Coxeter complexes. They conjectured that ∆T is (n− b−1)-connected when the tree has b leaves. We provide a shelling for the (n − b)skeleton of ∆T , thereby proving this conjecture. In the process, we introduce notions ...

2003
ABDUL SALAM JARRAH REINHARD LAUBENBACHER

Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this paper is how to characterize the simplicial complexes such that their Stanley-Reisner ideals have Cohen-Macaulay generic deformations. Algorithms are presented to construct such deformations for matroid complexes, shifted complexes, and tree compl...

Journal: :CoRR 2017
Riccardo Fellegara Kenneth Weiss Leila De Floriani

The efficient representation and management of simplicial and cell complexes is an active research topic in several fields, including geometric modeling, computer graphics, scientific visualization, and geographic data processing. In this paper, we propose the Stellar tree, a topological data structure for performing efficient topological queries on simplicial and non-simplicial complexes. We p...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه بیرجند - دانشکده علوم انسانی 1389

abstract amino acids are building blocks of proteins, and play a vital role in living beings existence and their functionality. the interaction of these compounds with metal ions is of great importance to biochemists, and chemists, because their functions can be utilized as a model in understanding enzymes mechanism for transport of metal ions to tissues. among twenty essential amino acids w...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه سیستان و بلوچستان 1390

abstract the influence of cation?? and anion?? interactions on the strength and nature of n…h hydrogen bond has been investigated by quantum chemical calculations in s-triazine…3hf complex. ab initio calculations were performed at mp2/6-311++g(d,p) level of theory. the natural bond orbital (nbo) analysis and the bader’s quantum theory of atoms in molecules (aim) were also used to elucidate t...

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