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math.GNFeb 10, 2014
12
citations (OpenAlex)
authors
  • Oliver Knill
arXiv abstractPDF
paper

Classical mathematical structures within topological graph theory

arXiv:1402.2029

Abstract

Finite simple graphs are a playground for classical areas of mathematics. We illustrate this by looking at some theorems. These are slightly enhanced preparation notes for a talk given at the joint AMS meeting of January 16, 2014 in Baltimore.

28 pages

References in corpus (11)

  • On index expectation and curvature for networks
  • The McKean-Singer Formula in Graph Theory
  • An index formula for simple graphs
  • The Lusternik-Schnirelmann theorem for graphs
  • A notion of graph homeomorphism
  • Counting rooted forests in a network
  • The Euler characteristic of an even-dimensional graph
  • The zeta function for circular graphs
  • Natural orbital networks
  • Dynamically generated Networks
  • On quadratic orbital networks

Cited by in corpus (12)

  • Gauss-Bonnet for multi-linear valuations
  • Coloring graphs using topology
  • Graphs with Eulerian unit spheres
  • The amazing world of simplicial complexes
  • The strong ring of simplicial complexes
  • The Cohomology for Wu Characteristics
  • Poincare Hopf for vector fields on graphs
  • Integral geometric Hopf conjectures
  • If Archimedes would have known functions
  • Constant index expectation curvature for graphs or Riemannian manifolds
  • Complexes, Graphs, Homotopy, Products and Shannon Capacity
  • Graph complements of circular graphs
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