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Graphs and Geometry
About this Title
László Lovász, Eötvös Loránd University, Budapest, Hungary
Publication: Colloquium Publications
Publication Year:
2019; Volume 65
ISBNs: 978-1-4704-5087-8 (print); 978-1-4704-5354-1 (online)
DOI: https://doi.org/10.1090/coll/065
MathSciNet review: MR3967118
MSC: Primary 05-01; Secondary 05C10, 05C50, 05C62
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Why are geometric representations interesting?
- Planar graphs
- Rubber bands
- Discrete harmonic functions
- Coin representation
- Square tilings
- Discrete analytic functions
- Discrete analytic functions: Statistical physics
- Adjacency matrix and its square
- Orthogonal representations: Dimension
- Orthogonal representations: The smallest cone
- Orthogonal representations: Quantum physics
- Semidefinite optimization
- Stresses
- Rigidity and motions of frameworks
- The Colin de Verdière number
- Metric representations
- Matching and covering in frameworks
- Combinatorics of subspaces
- Concluding thoughts
- Appendix A. Linear algebra
- Appendix B. Graphs
- Appendix C. Convex bodies
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