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Combinatorics of Go
[chapter]
2007
Lecture Notes in Computer Science
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We present several results concerning the number of positions and games of Go. ...
We also study the Game Tree complexity of Go, proving an upper bound on the number of possible games of (mn) L(m,n) and a lower bound of 2 2 n 2 /2 −O(n) on n × n and 2 2 n−1 on 1 × n boards, in addition ...
idea of using Chinese Remaindering and extensive help with developing and running the file-based implementations that provided the counts for n = 14 . . . 17. ...
doi:10.1007/978-3-540-75538-8_8
fatcat:lpkggorpxvgjtigd3nsx4yrvqy
Guest editorial: JACO going forward
2018
Journal of Algebraic Combinatorics
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in algebraic combinatorics. ...
Ilias Kotsireas of Wilfrid Laurier University in Waterloo as the new Editor-in-Chief of the Journal of Algebraic Combinatorics (JACO). Dr. ...
doi:10.1007/s10801-018-0815-5
fatcat:wha2o7km65eixmvkbaposg2qmy
Mr. Paint and Mrs. Correct go Fractional
2011
Electronic Journal of Combinatorics
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We study a fractional counterpart of the on-line list colouring game "Mr. Paint and Mrs. Correct" introduced recently by Schauz. ...
On the other hand it is known from the paper of Alon et al. that the choice ratio equals the fractional chromatic number. ...
Paint is going to fill the lists during the game. The goal of Mrs. Correct is to incrementally construct an (L, b)-colouring ϕ from the resulting list assignment. Mr. ...
doi:10.37236/627
fatcat:dacb26gxjzhmzdz2og4exwzq4y
The Terwilliger Algebra of the Hypercube
2002
European journal of combinatorics (Print)
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We show that T is a homomorphic image of the universal enveloping algebra of the Lie algebra sl 2 (C). We obtain an element φ of T that generates the center of T . ...
We give an introduction to the Terwilliger algebra of a distance-regular graph, focusing on the hypercube Q D of dimension D. Let X denote the vertex set of Q D . ...
This work was carried out when the author was an Honorary Fellow at the University of Wisconsin-Madison (January-December 1998) supported by the Department of Science and Technology, Philippines. ...
doi:10.1006/eujc.2000.0514
fatcat:5sbto3by5zgd5n5n7swpkk2qsm
Tight Distance-regular Graphs and the Subconstituent Algebra
2002
European journal of combinatorics (Print)
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Let X denote the vertex set of and f x x ∈ X. where A denotes the adjacency matrix of and E * i denotes the projection onto the ith subconstituent of with respect to x. ...
T is called the subconstituent algebra (or Terwilliger algebra) of with respect to x. ...
GO AND PAUL TERWILLIGER † We consider a distance-regular graph with diameter D ≥ 3, intersection numbers a i , b i , c i and eigenvalues k = θ 0 > θ 1 > · · · > θ D . ...
doi:10.1006/eujc.2002.0597
fatcat:ocquedjr2jdobomyhvidoln3le
Interview with Edward A. Bender
2021
Enumerative Combinatorics and Applications
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Mansour: Professor Bender, first of all, we would like to thank you for accepting this interview. Would you tell us broadly what combinatorics is? ...
Systems Analysis; A Short Course in Discrete Mathematics; Foundations of Combinatorics with Applications; Lists, Decisions and Graphs -With an Introduction to Probability. ...
I thought I might work with one of those faculty members at Caltech. Here is what happened: •
Bender: I look at it from the point of view of the benefits of going to the moon. ...
doi:10.54550/eca2022v2s1i1
fatcat:ozley3hc7jdwxhfhe67std6evq
Preface: The Second Malta Conference in Graph Theory and Combinatorics
2019
Discrete Applied Mathematics
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Further words of thanks go to all the participants who contributed to the vibrant discussions on the attractive areas of graph theory, combinatorics and their applications during the talks. ...
This special issue of Discrete Applied Mathematics, is associated with the Second Malta Conference in Graph Theory and Combinatorics held in June 2017. ...
theory and combinatorics. ...
doi:10.1016/j.dam.2019.05.016
fatcat:gwr3uufexzgbvis46sfxr4qorm
Introduction
2009
Combinatorics, probability & computing
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As this collection was going to press, we learned that the third organizer of this meeting, Professor Ingo Wegener, had passed away. ...
We are delighted to be able to publish this collection of papers in Combinatorics, Probability and Computing, and we thank all the authors and the referees for their cooperation at all stages of the process ...
doi:10.1017/s0963548309009766
fatcat:5oqbe4szdnbozm3hfnnjmjsbaa
Interview with Xavier Viennot
2021
Enumerative Combinatorics and Applications
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This was the starting point of nice and fruitful cooperation between our combinatorial group in LaBRI and the department of statistical mechanics at Melbourne University. ...
We did not know at the same time, Guttmann and Enting were doing some experiments, and from the first values of the sequence, applying techniques of approximants, guess (and conjecture) the formula 124 ...
For me, I was going from the world of combinatorial algebra to the world of algebraic combinatorics. ...
doi:10.54550/eca2022v2s1i4
fatcat:n2kaan37zrcc3l6xf25tsg477u
Combinatoric results for graphical enumeration and the higher Catalan numbers
[article]
2007
arXiv
pre-print
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We give combinatoric proofs of the formulas for the number of genus 0 and genus 1 maps. ...
We summarize some combinatoric problems solved by the higher Catalan numbers. These problems are generalizations of the combinatoric problems solved by the Catalan numbers. ...
A path of this type going below the x-axis will go through one of the points D k = (νk − 1, −1) . Let A ′ = (0, −ν). Lemma 2.2. ...
arXiv:math/0703160v1
fatcat:44jbrkrvvjaqdm4pr2freilfve
CPC volume 19 issue 4 Cover and Back matter
2010
Combinatorics, probability & computing
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This book, which fi lls a gap in the existing literature, will be of interest both to the beginner, for the clarity of exposition and the judicious choice of topics, and to the specialist, who will fi ...
This splendid account of the modern theory of Brownian motion puts special emphasis on sample path properties and connections with harmonic functions and potential theory, without omitting such important ...
Additive Combinatorics
TERENCE TAO AND VAN H. ...
doi:10.1017/s0963548310000179
fatcat:zx3dfzrbnvb7fbkeefbkpbipby
CPC volume 20 issue 3 Cover and Back matter
2011
Combinatorics, probability & computing
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IP address: 207.241.231.82, on 26 Jul 2018 at 03:34:14, subject to the Cambridge Core terms of use, available at ...
Cambridge Journals Online For further information about this journal please go to the journal website at: journals.cambridge.org/cpc https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0963548311000150 ...
doi:10.1017/s0963548311000150
fatcat:lyhqkvm7dffhvcthzi6ftiohni
CPC volume 20 issue 2 Cover and Back matter
2011
Combinatorics, probability & computing
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IP address: 207.241.231.80, on 30 Jul 2018 at 07:09:51, subject to the Cambridge Core terms of use, available at ...
Cambridge Journals Online For further information about this journal please go to the journal website at: journals.cambridge.org/cpc https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0963548311000058 ...
doi:10.1017/s0963548311000058
fatcat:vzk6ezfk2zfjtabuxlzxyzp3di
CPC volume 21 issue 3 Cover and Back matter
2012
Combinatorics, probability & computing
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IP address: 207.241.231.83, on 28 Jul 2018 at 18:42:20, subject to the Cambridge Core terms of use, available at ...
Cambridge Journals Online For further information about this journal please go to the journal website at: journals.cambridge.org/cpc https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0963548312000132 ...
doi:10.1017/s0963548312000132
fatcat:cyi35hlytrbztiul6o6pxw7re4
The Unity of Combinatorics
2022
Notices of the American Mathematical Society
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I am grateful to Anurag Bishnoi, Alex Fink, Felix Lazebnik, Bruce Rothschild, and Richard Stanley for their helpful and interesting comments on a draft of the review. ...
You can easily see the case for the book: curious readers want to know what's really going on.... ...
Of course areas of combinatorics beside algebraic combinatorics also have a deep relationship with other parts of mathematics. [..] ...
doi:10.1090/noti2397
fatcat:zkfxnbiqgfbmtdph7snyxr637m
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