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Events by month

February 2019

Friday, February 1, 2019 — 1:00 PM EST

Title: 2-approximation of chromatic number on graph classes excluding a minor

Speaker: Rose McCarty Affiliation: University of Waterloo Room: MC 5479

Abstract: In this talk we will see a 2-approximation of the chromatic number of graphs excluding a fixed minor.

Friday, February 1, 2019 — 3:30 PM EST

Title: Eigenvalue bounds to the (co)clique and chromatic numbers

Speaker: Gabriel Coutinho Affiliation: Federal University of Minas Gerais, Brazil Room: MC 5501

Abstract:

This is perhaps one of the oldest topics of interest in spectral graph theory, dating back to the works of Hoffman, Haemers, Delsarte and others, in the 70s.

Tuesday, February 5, 2019 — 2:00 PM EST

Title: Applications of the entropy method: Brégman's theorem

Speaker: Jorn van der Pol Affiliation: University of Waterloo Room: MC 6486

Abstract: Following Section 5 of Galvin's notes on Entropy and Counting,

Thursday, February 7, 2019 — 1:30 PM EST

Title: Permutation Problems, Chessboards, and Rook Equivalence

Speaker: Caelan Wang Affiliation: University of Waterloo Room: MC 6486

Abstract: We discuss the motivation and development of the theory around rook polynomials.

Friday, February 8, 2019 — 1:00 PM EST

Title:‘Coloring 3-colorable graphs with o(n^1⁄5) colors’ by Kawarabayashi and Thorup

Speaker: Tom Kelly Affiliation: University of Waterloo Room: MC 5479

Abstract: Much attention has been devoted to nding polynomial time algorithms for coloring three-
colorable graphs with the fewest possible colors.

Friday, February 8, 2019 — 3:30 PM EST

Title: The rank of random matrices over finite fields

Speaker: Jane Gao Affiliation: University of Waterloo Room: MC 5501

Abstract:

We determine the rank of a random matrix over a finite field with prescribed numbers of non-zero entries in each row and column. As an application we obtain a formula for the rate of low-density parity check codes.

Wednesday, February 13, 2019 — 3:30 PM EST

Title: Circle graphs are quadratically x-bounded

Speaker: James Davies Affiliation: University of Waterloo Room: **New Room** MC 5501

Abstract: A circle graph $G$ is an intersection graph of a set of chords on a circle.

Thursday, February 14, 2019 — 1:30 PM EST

Title: Quantum Walks, State Transfer, and Entanglement

Speaker: Christopher van Bommel Affiliation: University of Waterloo Room: MC 6486

Abstract: Quantum walks are the quantum analogues of classical random walks and can be used to model quantum computations.

Friday, February 15, 2019 — 1:00 PM EST

Title: Coloring 3-colorable graphs with o(n^1/5) colors

Speaker: Sharat Ibrahimpur Affiliation: University of Waterloo Room: MC 5479

Abstract: This is the second part of the seminar on recent results obtained by Kawarabayashi and Thorup

Tuesday, February 19, 2019 — 2:00 PM EST

Title: Applications of the entropy method: Counting proper colorings of a regular graph

Speaker: Jane Gao Affiliation: University of Waterloo Room: MC 6486

Abstract: Following Section 6 of Galvin's notes on Entropy and Counting, we will explore Galvin and Tetali’s tight upper bound

Tuesday, February 26, 2019 — 2:00 PM EST

Title: Bounding Dedekind numbers with entropy

Speaker: John Schanck Affiliation: University of Waterloo Room: MC 6486

Abstract: The Dedekind numbers (sequence A000372 in the OEIS)

Wednesday, February 27, 2019 — 3:30 PM EST

Title: Cyclic flat approach to matroid base polytopes

Speaker: Ahmed Ashraf Affiliation: Western University Room: MC 5501

Abstract: Ardila, Benedetti and Doker realised matroid polytopes as generalized permutohedra, and using the work of Postnikov,

Thursday, February 28, 2019 — 3:30 PM EST

Title: Difference-of-SOS and Difference-of-Convex-SOS Decomposition Techniques for Polynomials

Speaker: Yi-Shuai Niu Affiliation:

SJTU-Paristech & Maths department Shanghai Jiao Tong University

Room: MC 5501

Abstract:

We are interested in polynomial decomposition techniques for reformulating any multivariate polynomial into difference-of-sums-of-squares (DSOS) and difference-of-convex-sums-of-squares (DCSOS) polynomials.

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