The number of nowhere-zero flows on graphs and signed graphs
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Publication:859616
DOI10.1016/j.jctb.2006.02.011zbMath1119.05105arXivmath/0309331OpenAlexW1976154174MaRDI QIDQ859616
Matthias Beck, Thomas Zaslavsky
Publication date: 16 January 2007
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309331
arrangement of hyperplanesTutte polynomialsigned graphnowhere-zero flowbidirected graphintegral flow polynomiallattice-point countingrational convex polytope
Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Graph theory (05C99) Oriented matroids in discrete geometry (52C40) Signed and weighted graphs (05C22)
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Cites Work
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- Nowhere-zero integral flows on a bidirected graph
- Nowhere-zero integral chains and flows in bidirected graphs
- Subspaces with well-scaled frames
- Signed graph coloring
- Erratum to: T. Zaslavsky, signed graphs
- Orientation of signed graphs
- Polynômes arithmétiques et méthode des polyedres en combinatoire
- Biased graphs IV: Geometrical realizations
- Counting integer flows in networks
- Polynomials associated with nowhere-zero flows
- Orbit-counting polynomials for graphs and codes
- Inside-out polytopes
- Acyclic orientations of graphs
- On the notion of balance of a signed graph
- On the Interpretation of Whitney Numbers Through Arrangements of Hyperplanes, Zonotopes, Non-Radon Partitions, and Orientations of Graphs
- Computing the Continuous Discretely
- Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
- Lectures on Polytopes
- A bidirected generalization of network matrices
- A simple algorithm that proves half‐integrality of bidirected network programming
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- A Theorem on Graphs, with an Application to a Problem of Traffic Control
- On the Imbedding of Linear Graphs in Surfaces
- A Contribution to the Theory of Chromatic Polynomials