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Computational Combinatorics

December 7, 2015. So Long, and Thanks for All the Theorems. Since I first learned about graph theory in my intro algorithms class, I have been intensely focused towards learning more about graphs and doing mathematics as a passion and a profession. At the end of this semester, I close the book on that part of my career, leave my academic position, and return to my original plan: developing software. Read the rest of this entry ». September 18, 2015. The Erdős Discrepancy Problem. Recently, Le Bras. Graph...

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Computational Combinatorics | computationalcombinatorics.wordpress.com Reviews
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December 7, 2015. So Long, and Thanks for All the Theorems. Since I first learned about graph theory in my intro algorithms class, I have been intensely focused towards learning more about graphs and doing mathematics as a passion and a profession. At the end of this semester, I close the book on that part of my career, leave my academic position, and return to my original plan: developing software. Read the rest of this entry ». September 18, 2015. The Erdős Discrepancy Problem. Recently, Le Bras. Graph...
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Computational Combinatorics | computationalcombinatorics.wordpress.com Reviews

https://computationalcombinatorics.wordpress.com

December 7, 2015. So Long, and Thanks for All the Theorems. Since I first learned about graph theory in my intro algorithms class, I have been intensely focused towards learning more about graphs and doing mathematics as a passion and a profession. At the end of this semester, I close the book on that part of my career, leave my academic position, and return to my original plan: developing software. Read the rest of this entry ». September 18, 2015. The Erdős Discrepancy Problem. Recently, Le Bras. Graph...

INTERNAL PAGES

computationalcombinatorics.wordpress.com computationalcombinatorics.wordpress.com
1

Shannon Capacity of Odd Cycles | Computational Combinatorics

https://computationalcombinatorics.wordpress.com/2015/04/15/shannon-capacity-of-odd-cycles

Shannon Capacity of Odd Cycles. Breaking news: Mathew and Östergård have improved lower bounds. On the Shannon capacity. Of some odd cycles. These improvements over a very old and difficult problem come via some sophisticated algorithms. Shannon Capacity of a Graph. For a full description of Shannon capacity, see the article on Wikipedia. Be a graph. An independent set. Is a set of vertices where no two are adjacent. Let. Called the independence number. Is the maximum size of an independent set. If.

2

Happy Birthday, Joan Hutchinson! | Computational Combinatorics

https://computationalcombinatorics.wordpress.com/2015/04/21/happy-birthday-joan-hutchinson

Happy Birthday, Joan Hutchinson! Bernard Lidický and I organized an AMS Special Session on Extremal and Structural Graph Theory. Last weekend. It was a wonderful session, filled with wonderful speakers talking about some amazing mathematics. Notably missing was Joan Hutchinson. Who we invited but she declined because she was celebrating a milestone birthday on Sunday. That’s a very good reason to miss the session, and we missed her greatly. However, we did want to share our well-wishes. April 21, 2015.

3

Syllabus | Computational Combinatorics

https://computationalcombinatorics.wordpress.com/syllabus

Part of the purpose of this blog is to collect enough information on Computational Combinatorics to develop a graduate course on the subject. This page outlines the syllabus of such a course, and how the posts fit within that syllabus. Ranking and Unranking of Combinations and Permutations. Best Practices for Scientific Computing. Using the Sage Graph Library. Using GLPK, CPLEX, and other LP Solvers. Using TreeSearch for Parallel Computation. A Visual Guide to Combinatorial Search. Enter your comment here.

4

On the arXiv | Computational Combinatorics

https://computationalcombinatorics.wordpress.com/2014/08/28/on-the-arxiv

Whenever I write a paper, I put it on the arXiv. I recently uploaded the paper, Extending Precolorings to Distinguish Group Actions. The interesting part is that this last week, another paper. Was uploaded by Alex Lombardi, and undergraduate at Harvard. Alex participated in Joseph Gallian’s undergraduate research program. And used our paper as a starting point. Not only did he quickly solve more than we did, but he solved all but one conjecture. To say the least. In my opinion, there is no excuse. For ex...

5

Boron and Buckyballs | Computational Combinatorics

https://computationalcombinatorics.wordpress.com/2014/07/17/boron-and-buckyballs

Recent news from the world of chemistry: the result is really the experimental observation of a special new molecule. People call it a “Boron Buckyball”, but this irritates me since we know that the buckyball is a specific fullerene on 60 vertices. In particular, it is the smallest fullerene that satisfies the independent pentagon rule. This new Boron molecule is called “Borospherene” and is quite interesting in its own right, as seen below:. The borospherene molecule. Credit: Zhai et al. While the pictu...

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Jan Goedgebeur's Homepage

http://caagt.ugent.be/jgoedgeb

Department of Applied Mathematics, Computer Science and Statistics. Krijgslaan 281 - S9. Phone: 32 9 264 47 70. Fax: 32 9 264 49 95. E-mail: Jan.Goedgebeur[at]UGent.be. Postdoctoral Researcher of the Research Foundation Flanders (FWO). Generation of combinatorial structures. Graph theory in general. J Goedgebeur and C.T. Zamfirescu, New results on hypohamiltonian and almost hypohamiltonian graphs. 18 pages. Preprint: ( arXiv. 21 pages. Preprint: ( arXiv. 27 pages. Preprint: ( arXiv. G Brinkmann, J. G...

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Past teaching | A kind of library

https://andrescaicedo.wordpress.com/previous-courses

A kind of library. Andrés E. Caicedo. You may want to see also my Students. Co-advised with Ramiro de la Vega. In Spanish. June 2010. Schur’s theorem and related topics in Ramsey theory. The classical theory of rearrangements. Although my input was minimal, I supervised some undergraduate research in Spring 2015 by Ian Cavey. This resulted in a short note on. Volumes of sphere-bounded regions in high dimensions. Ian gave a talk on these results at the MAA centenary meeting. His slides are here. 197-Intro...

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Computational Combinatorics

December 7, 2015. So Long, and Thanks for All the Theorems. Since I first learned about graph theory in my intro algorithms class, I have been intensely focused towards learning more about graphs and doing mathematics as a passion and a profession. At the end of this semester, I close the book on that part of my career, leave my academic position, and return to my original plan: developing software. Read the rest of this entry ». September 18, 2015. The Erdős Discrepancy Problem. Recently, Le Bras. Graph...

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