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John Baez
replied RE:
Spread: a measure of the size of metric spaces
(3 days ago)

Charles Filipponi
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(3 days ago)

+Richard Green Well that sounds like an interesting conversation - wish I was a fly on the wall.

Jane A. Larson
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(3 days ago)

+Richard Green Thank you, I'll look forward to any and all information given.

Richard Green
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(3 days ago)

That's a good question, +Jane A. Larson. I posted this partly so I could talk about it with molecular biologists at my university. After I do, maybe I'll have some more insight.

Jane A. Larson
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(3 days ago)

+Richard Green have the Hultman numbers ever been utilized for medical research? If so, was it proven to be significant or could be significant in the research? Off the cuff question, I know.

Richard Green
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

+Charles Filipponi, yes, that's the book.

+Deen Abiola, you're right, combinatorial group theory is a significant aspect of this. I meant to say that in my previous comment and forgot.

Person whose name I can't type: the online encyclopedia I linked to above calls them “Hultman numbers” and “signed Hultman numbers”, so this is probably standard terminology.

+Deen Abiola, you're right, combinatorial group theory is a significant aspect of this. I meant to say that in my previous comment and forgot.

Person whose name I can't type: the online encyclopedia I linked to above calls them “Hultman numbers” and “signed Hultman numbers”, so this is probably standard terminology.

武田方男
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

Is there available for the suitable tech term instead of The (signed) Hultman number H(n,d) such as signed H number or signed gene numbers etc?

Deen Abiola
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

I wrote some code that did this kind of stuff once. I'd say it's group theory (permutations) at its core and graph theory that yields insights.

Charles Filipponi
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

Is this the one you mean +Richard Green ?

http://books.google.com/books/about/Algebraic_Combinatorics.html?id=eADtlNCkkIMC

When I went looking, long ago and far away, for Kuhn-Munkres at someone's suggestion, I could only find it in one book (the name escapes me right now - Five Guys is wearing off - but it's downstairs in my library). Things may have progressed some. This book (at the link) was published in '93, about 6 or 7 years after I first started working with this stuff. So I never heard of it. IF this is the book you are talking about, I will order it if it's still in print.

http://books.google.com/books/about/Algebraic_Combinatorics.html?id=eADtlNCkkIMC

When I went looking, long ago and far away, for Kuhn-Munkres at someone's suggestion, I could only find it in one book (the name escapes me right now - Five Guys is wearing off - but it's downstairs in my library). Things may have progressed some. This book (at the link) was published in '93, about 6 or 7 years after I first started working with this stuff. So I never heard of it. IF this is the book you are talking about, I will order it if it's still in print.

Richard Green
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

The theory of matchings is fairly extensive, +Charles Filipponi. Chris Godsil's book on algebraic combinatorics has a lot to say about this topic.

Charles Filipponi
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

After some dusting off with a Five Guys burger, I remember a bit of some graph theory/combinatorics which may or may not be relevant. It's a fascinating result. This link only describes the algorithm for the Kuhn-Munkres or the Hungarian Algorithm. The proof of it is found in some (very few) books on graph theory. But it is one heck of a way to correlate data. http://lyanalgorithm.blogspot.com/2012/07/the-hungarian-algorithm-kuhn-munkres.html

Charles Filipponi
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

+Richard Green Wow. The latter two are right up my ally. I have a smidgen of graph theory (pattern matching related), more combinatorics. But I have never heard of Hultman Numbers. Which of course means "interesting". Thanks for sharing. Love to learn new stuff.

Richard Green
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

+Charles Filipponi: graph theory and enumerative combinatorics. There is also a probability and statistics angle that I didn't explore.

Charles Filipponi
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

KInda scanned it quickly - is this a subset of graph theory?

Raquel Hunter
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

I am always fascinated by the mathematical topics that you post.

Angela Von Guesse
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

Thank you for sharing.

Jim McCall's Arts FL USA
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

UK s got superbabies...

Mark Hurn
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

How very elegant.

And now I want pancakes again...

And now I want pancakes again...

Richard Durham
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

Passing this one on to my wife; she is the geneticist in the family.

Giovanni Bordiga
replied RE:
Generalized Hultman Numbers and the Distribution of Multi-break
Distances
(4 days ago)

<comment-for-later-reading/>

But I hadn't known about doublig dimension - thanks!