146 citations · 252 across the 22 of their papers we have counts for
19 papers · 1 filter
Foundations of Differential Calculus for modules over posets
Jacek Brodzki, Ran Levi, Henri Riihimäki
Let be a field and let be a small category. A -linear representation of , or a -module, is a functor from to the category of finite dimensional vector spaces…
An application of neighbourhoods in digraphs to the classification of binary dynamics
Pedro Conceição, Dejan Govc, Jānis Lazovskis +3
A binary state on a graph means an assignment of binary values to its vertices. For example, if one encodes a network of spiking neurons as a directed graph, then the spikes produc…
Characterisation of polyhedral products with finite generalised Postnikov decomposition
Kouyemon Iriye, Daisuke Kishimoto, Ran Levi
A generalised Postnikov tower for a space is a tower of principal fibrations with fibres generalised Eilenberg-MacLane spaces, whose inverse limit is weakly homotopy equivalent…
Complexes of Tournaments, Directionality Filtrations and Persistent Homology
Dejan Govc, Ran Levi, Jason P. Smith
Complete digraphs are referred to in the combinatorics literature as tournaments. We consider a family of semi-simplicial complexes, that we refer to as "tournaplexes", whose simpl…
On the topology of complexes of injective words
Wojtek Chacholski, Ran Levi, Roy Meshulam
An injective word over a finite alphabet is a sequence of distinct elements of . The set of injective words on is partially ordere…
Computing persistent homology of directed flag complexes
Daniel Luetgehetmann, Dejan Govc, Jason Smith +1
We present a new computing package Flagser, designed to construct the directed flag complex of a finite directed graph, and compute persistent homology for flexibly defined filtrat…