ix-ktheory

Official

Compute algebraic K-theory for graphs

AuthorGuitarAlchemist
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This Skill solves the problem of computing algebraic K-theory for graph structures, providing insights into the topological and algebraic properties of graphs.

Core Features & Use Cases

  • Graph K0: Computes the Grothendieck group K0 from adjacency matrices.
  • Graph K1: Calculates the K1 invariant via determinant maps on graph automorphisms.
  • Mayer-Vietoris: Offers exact sequences for graph decompositions.
  • Spectral Sequences: Basic computation of spectral sequences.
  • Use Case: Ideal for exploring the algebraic topology of complex network structures in fields like computer science, physics, and chemistry.

Quick Start

Calculate the K0 of a graph with graph_k0(Graph::new(adjacency_matrix)).

Dependency Matrix

Required Modules

ix_ktheory

Components

scriptsreferences

💻 Claude Code Installation

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Please help me install this Skill:
Name: ix-ktheory
Download link: https://github.com/GuitarAlchemist/ix/archive/main.zip#ix-ktheory

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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