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| author | Yuchen Pei <me@ypei.me> | 2021-06-18 12:58:44 +1000 |
|---|---|---|
| committer | Yuchen Pei <me@ypei.me> | 2021-06-18 12:58:44 +1000 |
| commit | 147a19e84a743f1379f05bf2f444143b4afd7bd6 (patch) | |
| tree | 3127395250cb958f06a98b86f73e77658150b43c /site-from-md/posts/2014-04-01-q-robinson-schensted-symmetry-paper.html | |
| parent | 4fa26fec8b7e978955e5630d3f820ba9c53be72c (diff) | |
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diff --git a/site-from-md/posts/2014-04-01-q-robinson-schensted-symmetry-paper.html b/site-from-md/posts/2014-04-01-q-robinson-schensted-symmetry-paper.html new file mode 100644 index 0000000..215183b --- /dev/null +++ b/site-from-md/posts/2014-04-01-q-robinson-schensted-symmetry-paper.html @@ -0,0 +1,53 @@ +<!doctype html> +<html lang="en"> + <head> + <meta charset="utf-8"> + <title>Symmetry property of \(q\)-weighted Robinson-Schensted algorithms and branching algorithms</title> + <link rel="stylesheet" href="../assets/css/default.css" /> + <script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"></script> + <script src="../assets/js/analytics.js" type="text/javascript"></script> + </head> + <body> + <header> + <span class="logo"> + <a href="../blog.html">Yuchen's Blog</a> + </span> + <nav> + <a href="../index.html">About</a><a href="../postlist.html">All posts</a><a href="../blog-feed.xml">Feed</a> + </nav> + </header> + + <div class="main"> + <div class="bodyitem"> + <h2> Symmetry property of \(q\)-weighted Robinson-Schensted algorithms and branching algorithms </h2> + <p>Posted on 2014-04-01</p> + <!DOCTYPE html> +<html xmlns="http://www.w3.org/1999/xhtml" lang="" xml:lang=""> +<head> + <meta charset="utf-8" /> + <meta name="generator" content="pandoc" /> + <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" /> + <title>Untitled</title> + <style> + code{white-space: pre-wrap;} + span.smallcaps{font-variant: small-caps;} + span.underline{text-decoration: underline;} + div.column{display: inline-block; vertical-align: top; width: 50%;} + </style> + <!--[if lt IE 9]> + <script src="//cdnjs.cloudflare.com/ajax/libs/html5shiv/3.7.3/html5shiv-printshiv.min.js"></script> + <![endif]--> +</head> +<body> +<p>In <a href="http://link.springer.com/article/10.1007/s10801-014-0505-x">this paper</a> a symmetry property analogous to the well known symmetry property of the normal Robinson-Schensted algorithm has been shown for the \(q\)-weighted Robinson-Schensted algorithm. The proof uses a generalisation of the growth diagram approach introduced by Fomin. This approach, which uses “growth graphs”, can also be applied to a wider class of insertion algorithms which have a branching structure.</p> +<figure> +<img src="../assets/resources/1423graph.jpg" alt="Growth graph of q-RS for 1423" /><figcaption>Growth graph of q-RS for 1423</figcaption> +</figure> +<p>Above is the growth graph of the \(q\)-weighted Robinson-Schensted algorithm for the permutation \({1 2 3 4\choose1 4 2 3}\).</p> +</body> +</html> + + </div> + </div> + </body> +</html> |