Oliver Knill

Publication Activity (10 Years)

Years Active: 1987-2024
Publications (10 Years): 47

Top Topics

Subgraph Isomorphism

Monotonicity Property

Top Venues

Publications

Oliver Knill
Morse and Lusternik-Schnirelmann for graphs. CoRR (2024)
Oliver Knill
Manifolds from Partitions. CoRR (2024)
Oliver Knill
The Sphere Formula. CoRR (2023)
Oliver Knill
The Three Tree Theorem. CoRR (2023)
Oliver Knill
Discrete Algebraic sets in Discrete Manifolds. CoRR (2023)
Oliver Knill
Characteristic Topological Invariants. CoRR (2023)
Oliver Knill
Arboricity and Acyclic Chromatic Number. CoRR (2023)
Oliver Knill
Spectral monotonicity of the Hodge Laplacian. CoRR (2023)
Oliver Knill
Cohomology of open sets. CoRR (2023)
Oliver Knill
Analytic torsion for graphs. CoRR (2022)
Oliver Knill
The Babylonian Graph. CoRR (2022)
Oliver Knill
Eigenvalue bounds of the Kirchhoff Laplacian. CoRR (2022)
Oliver Knill
The Tree-Forest Ratio. CoRR (2022)
Oliver Knill
Remarks about the Arithmetic of Graphs. CoRR (2021)
Oliver Knill
Shannon capacity, Chess, DNA and Umbrellas. CoRR (2021)
Oliver Knill
Graph complements of circular graphs. CoRR (2021)
Oliver Knill
Complexes, Graphs, Homotopy, Products and Shannon Capacity. CoRR (2020)
Oliver Knill
Green functions of Energized complexes. CoRR (2020)
Oliver Knill
More on Poincare-Hopf and Gauss-Bonnet. CoRR (2019)
Oliver Knill
A Reeb sphere theorem in graph theory. CoRR (2019)
Oliver Knill
The average simplex cardinality of a finite abstract simplicial complex. CoRR (2019)
Oliver Knill
A simple sphere theorem for graphs. CoRR (2019)
Oliver Knill
Energized simplicial complexes. CoRR (2019)
Oliver Knill
Poincare Hopf for vector fields on graphs. CoRR (2019)
Oliver Knill
Constant index expectation curvature for graphs or Riemannian manifolds. CoRR (2019)
Oliver Knill
The energy of a simplicial complex. CoRR (2019)
Oliver Knill
A parametrized Poincare-Hopf Theorem and Clique Cardinalities of graphs. CoRR (2019)
Oliver Knill
Dehn-Sommerville from Gauss-Bonnet. CoRR (2019)
Oliver Knill
More on Numbers and Graphs. CoRR (2019)
Oliver Knill
The hydrogen identity for Laplacians. CoRR (2018)
Oliver Knill
Eulerian edge refinements, geodesics, billiards and sphere coloring. CoRR (2018)
Oliver Knill
The Cohomology for Wu Characteristics. CoRR (2018)
Oliver Knill
An Elementary Dyadic Riemann Hypothesis. CoRR (2018)
Oliver Knill
Listening to the cohomology of graphs. CoRR (2018)
Oliver Knill
Cartan's Magic Formula for Simplicial Complexes. CoRR (2018)
Oliver Knill
Combinatorial manifolds are Hamiltonian. CoRR (2018)
Oliver Knill
On Helmholtz free energy for finite abstract simplicial complexes. CoRR (2017)
Oliver Knill
One can hear the Euler characteristic of a simplicial complex. CoRR (2017)
Oliver Knill
On a Dehn-Sommerville functional for simplicial complexes. CoRR (2017)
Oliver Knill
On Atiyah-Singer and Atiyah-Bott for finite abstract simplicial complexes. CoRR (2017)
Oliver Knill
On the arithmetic of graphs. CoRR (2017)
Oliver Knill
The strong ring of simplicial complexes. CoRR (2017)
Oliver Knill
Sphere geometry and invariants. CoRR (2017)
Oliver Knill
Some experiments in number theory. CoRR (2016)
Oliver Knill
Goldbach for Gaussian, Hurwitz, Octavian and Eisenstein primes. CoRR (2016)
Oliver Knill
On Fredholm determinants in topology. CoRR (2016)
Oliver Knill
Gauss-Bonnet for multi-linear valuations. CoRR (2016)
Oliver Knill
Universality for Barycentric subdivision. CoRR (2015)
Oliver Knill
The Jordan-Brouwer theorem for graphs. CoRR (2015)
Oliver Knill
A Sard theorem for graph theory. CoRR (2015)
Oliver Knill
The graph spectrum of barycentric refinements. CoRR (2015)
Oliver Knill
Graphs with Eulerian unit spheres. CoRR (2015)
Oliver Knill
The Kuenneth formula for graphs. CoRR (2015)
Oliver Knill
Curvature from Graph Colorings. CoRR (2014)
Oliver Knill
Classical mathematical structures within topological graph theory. CoRR (2014)
Oliver Knill
If Archimedes would have known functions. CoRR (2014)
Oliver Knill
Characteristic Length and Clustering. CoRR (2014)
Oliver Knill
Coloring graphs using topology. CoRR (2014)
Oliver Knill
A notion of graph homeomorphism. CoRR (2014)
Oliver Knill
On quadratic orbital networks. CoRR (2013)
Oliver Knill
The Euler characteristic of an even-dimensional graph. CoRR (2013)
Oliver Knill
Counting rooted forests in a network. CoRR (2013)
Oliver Knill
The McKean-Singer Formula in Graph Theory CoRR (2013)
Oliver Knill, Elizabeth Slavkovsky
Thinking like Archimedes with a 3D printer CoRR (2013)
Oliver Knill
The Dirac operator of a graph. CoRR (2013)
Oliver Knill
The zeta function for circular graphs. CoRR (2013)
Oliver Knill
An index formula for simple graphs CoRR (2012)
Oliver Knill
The theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory CoRR (2012)
Frank Josellis, Oliver Knill
The Lusternik-Schnirelmann theorem for graphs CoRR (2012)
Oliver Knill
On index expectation and curvature for networks CoRR (2012)
Oliver Knill
A Brouwer fixed point theorem for graph endomorphisms CoRR (2012)
Oliver Knill
A graph theoretical Poincare-Hopf Theorem CoRR (2012)
Oliver Knill
A graph theoretical Gauss-Bonnet-Chern Theorem CoRR (2011)
Oliver Knill
On the Dimension and Euler characteristic of random graphs CoRR (2011)
Oliver Knill, Jose Ramirez-Herran
A structure from motion inequality CoRR (2007)
Oliver Knill, Jose Ramirez-Herran
Space and camera path reconstruction for omni-directional vision CoRR (2007)
Oliver Knill, Jose Ramirez-Herran
On Ullman's theorem in computer vision CoRR (2007)
Oliver Knill, Evan Reed
Complexity Growth in Almost Periodic Fluids in the Case of Lattice Gas Cellular Automata and Vlasov Systems. Complex Syst. 10 (3) (1996)
Oliver Knill
Diagonalization of Abel's Integral Operator. SIAM J. Appl. Math. 54 (5) (1994)
Oliver Knill, Roman Maeder
The rotation group of Rubik's cube. SIGSAM Bull. 21 (3) (1987)