Related papers: The Consistency Correctness in CoPPar Tree

In this paper we define the coarse (co)homology of the complement of a subspace in a metric space, generalizing the coarse (co)homology of Roe. We give a model space which encodes coarse geometric structure of the complement. We also…

In this short note, we revisit Zeilberger's proof of the classical matrix-tree theorem and give a unified concise proof of variants of this theorem, some known and some new.

A brief description of tree structured sparse coding on the binary cube.

In this paper two new graph operations are introduced, and with them the S-trees are studied in depth. This allows to find \(\{-1,0,1\}\)-basis for all the fundamental subspaces of the adjacency matrix of any tree, and to understand in…

The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these pairings,…

This is a companion piece to my paper on "Example-Based Procedural Modeling Using Graph Grammars." This paper examines some of the theoretical issues in more detail. This paper discusses some more complex parts of the implementation, why…

The purpose of this article is to present my new proof of the the construction and the convergence theorem of spectral sequences of filtered complexes, which is much shorter and cleaner than the "standard" proof.

This article contains the proof of a theorem on orthogonal-Pin duality that was cited without proof in a previous article in this journal.

In the revised version of the paper, we correct misprints and add some new statements.

These notes are a self-contained short proof of the stability of persistence diagrams.

This paper provides a relationship between a geometric structure of a suspended tree and the number of link components of the associated link diagram.

This supplementary part of the paper gr-qc 9312038 contains the necessary proofs of the claims stated in the main part.

The scope of the present work is to explain why it is true that all N have a distinct position in The Collatz Tree (The Collatz Graph)

There is substancial overlap with hepth-9211081. More results are presented for duality in the non-compact case. It is argued that duality persists as a symmetry also in that case.

Supplementary Material for "Estimation of a Multiplicative Correlation Structure in the Large Dimensional Case"

A comprehensive introduction to two-dimensional conformal field theory is given.

The purpose of this note is to rephrase Speyer's elegant topological proof for Kasteleyn's Theorem in a simple graph theoretical manner.

The class of self-nested trees presents remarkable compression properties because of the systematic repetition of subtrees in their structure. In this paper, we provide a better combinatorial characterization of this specific family of…

This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related objects. Furthermore they naturally lead…

We provide a general construction of convex roof measures of coherence. This construction is based on arbitrary coherence measures of pure states in the framework of resource theory of coherence. Convex roof measures of coherence bound from…