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A Journey Through Discrete Mathematics

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Cover of 'A Journey Through Discrete Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Simplex Range Searching and Its Variants: A Review
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    Chapter 2 Fair Representation by Independent Sets
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    Chapter 3 Computing Heegaard Genus is NP-Hard
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    Chapter 4 Approximation-Friendly Discrepancy Rounding
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    Chapter 5 A Tverberg Type Theorem for Matroids
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    Chapter 6 Gershgorin Disks for Multiple Eigenvalues of Non-negative Matrices
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    Chapter 7 Computing the Partition Function of a Polynomial on the Boolean Cube
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    Chapter 8 Siegel’s Lemma Is Sharp
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    Chapter 9 On Codimension One Embedding of Simplicial Complexes
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    Chapter 10 Using Brouwer’s Fixed Point Theorem
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    Chapter 11 Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story
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    Chapter 12 One-Sided Epsilon-Approximants
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    Chapter 13 A Note on Induced Ramsey Numbers
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    Chapter 14 ARRIVAL: A Zero-Player Graph Game in NP ∩ coNP
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    Chapter 15 Constant-Factor Approximation for TSP with Disks
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    Chapter 16 Transport-Entropy Inequalities and Curvature in Discrete-Space Markov Chains
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    Chapter 17 Bounding Helly Numbers via Betti Numbers
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    Chapter 18 Ruled Surface Theory and Incidence Geometry
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    Chapter 19 Approximating the k -Level in Three-Dimensional Plane Arrangements
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    Chapter 20 Schrijver Graphs and Projective Quadrangulations
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    Chapter 21 Near-Optimal Lower Bounds for ε -Nets for Half-Spaces and Low Complexity Set Systems
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    Chapter 22 Random Simplicial Complexes: Around the Phase Transition
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    Chapter 23 Nullspace Embeddings for Outerplanar Graphs
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    Chapter 24 Homology of Spaces of Directed Paths in Euclidean Pattern Spaces
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    Chapter 25 Sperner’s Colorings and Optimal Partitioning of the Simplex
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    Chapter 26 Teaching and Compressing for Low VC-Dimension
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    Chapter 27 Restricted Invertibility Revisited
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    Chapter 28 Rational Polygons: Odd Compression Ratio and Odd Plane Coverings
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    Chapter 29 First Order Probabilities for Galton–Watson Trees
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    Chapter 30 Crossing-Free Perfect Matchings in Wheel Point Sets
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    Chapter 31 Network Essence: PageRank Completion and Centrality-Conforming Markov Chains
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    Chapter 32 Anti-concentration Inequalities for Polynomials
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Title
A Journey Through Discrete Mathematics
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-44479-6
ISBNs
978-3-31-944479-6, 978-3-31-944478-9
Editors

Martin Loebl, Jaroslav Nešetřil, Robin Thomas

X Demographics

X Demographics

The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 6 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 17%
Professor > Associate Professor 1 17%
Other 1 17%
Lecturer > Senior Lecturer 1 17%
Unknown 2 33%
Readers by discipline Count As %
Mathematics 3 50%
Computer Science 1 17%
Unknown 2 33%