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A Journey Through Discrete Mathematics

Edited by Martin Loebl (), Jaroslav Nešetřil () and Robin Thomas ()

in Springer Books from Springer

Date: 2017
ISBN: 978-3-319-44479-6
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Chapters in this book:

Simplex Range Searching and Its Variants: A Review
Pankaj K. Agarwal
Fair Representation by Independent Sets
Ron Aharoni, Noga Alon, Eli Berger, Maria Chudnovsky, Dani Kotlar, Martin Loebl and Ran Ziv
Computing Heegaard Genus is NP-Hard
David Bachman, Ryan Derby-Talbot and Eric Sedgwick
Approximation-Friendly Discrepancy Rounding
Nikhil Bansal and Viswanath Nagarajan
A Tverberg Type Theorem for Matroids
Imre Bárány, Gil Kalai and Roy Meshulam
Gershgorin Disks for Multiple Eigenvalues of Non-negative Matrices
Imre Bárány and József Solymosi
Computing the Partition Function of a Polynomial on the Boolean Cube
Alexander Barvinok
Siegel’s Lemma Is Sharp
József Beck
On Codimension One Embedding of Simplicial Complexes
Anders Björner and Afshin Goodarzi
Using Brouwer’s Fixed Point Theorem
Anders Björner, Jiří Matoušek and Günter M. Ziegler
Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story
Pavle V. M. Blagojević and Günter M. Ziegler
One-Sided Epsilon-Approximants
Boris Bukh and Gabriel Nivasch
A Note on Induced Ramsey Numbers
David Conlon, Domingos Dellamonica, Steven La Fleur, Vojtěch Rödl and Mathias Schacht
ARRIVAL: A Zero-Player Graph Game in NP ∩ coNP
Jérôme Dohrau, Bernd Gärtner, Manuel Kohler, Jiří Matoušek and Emo Welzl
Constant-Factor Approximation for TSP with Disks
Adrian Dumitrescu and Csaba D. Tóth
Transport-Entropy Inequalities and Curvature in Discrete-Space Markov Chains
Ronen Eldan, James R. Lee and Joseph Lehec
Bounding Helly Numbers via Betti Numbers
Xavier Goaoc, Pavel Paták, Zuzana Patáková, Martin Tancer and Uli Wagner
Ruled Surface Theory and Incidence Geometry
Larry Guth
Approximating the k-Level in Three-Dimensional Plane Arrangements
Sariel Har-Peled, Haim Kaplan and Micha Sharir
Schrijver Graphs and Projective Quadrangulations
Tomáš Kaiser and Matěj Stehlík
Near-Optimal Lower Bounds for ε-Nets for Half-Spaces and Low Complexity Set Systems
Andrey Kupavskii, Nabil H. Mustafa and János Pach
Random Simplicial Complexes: Around the Phase Transition
Nathan Linial and Yuval Peled
Nullspace Embeddings for Outerplanar Graphs
László Lovász and Alexander Schrijver
Homology of Spaces of Directed Paths in Euclidean Pattern Spaces
Roy Meshulam and Martin Raussen
Sperner’s Colorings and Optimal Partitioning of the Simplex
Maryam Mirzakhani and Jan Vondrák
Teaching and Compressing for Low VC-Dimension
Shay Moran, Amir Shpilka, Avi Wigderson and Amir Yehudayoff
Restricted Invertibility Revisited
Assaf Naor and Pierre Youssef
Rational Polygons: Odd Compression Ratio and Odd Plane Coverings
Rom Pinchasi and Yuri Rabinovich
First Order Probabilities for Galton–Watson Trees
Moumanti Podder and Joel Spencer
Crossing-Free Perfect Matchings in Wheel Point Sets
Andres J. Ruiz-Vargas and Emo Welzl
Network Essence: PageRank Completion and Centrality-Conforming Markov Chains
Shang-Hua Teng
Anti-concentration Inequalities for Polynomials
Vu Van

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DOI: 10.1007/978-3-319-44479-6

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