151 lines
4.9 KiB
Markdown
151 lines
4.9 KiB
Markdown
---
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created_at: '2015-08-21T16:28:39.000Z'
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title: Calculus on Graphs (2004)
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url: http://arxiv.org/abs/cs/0408028
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author: skeuomorf
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points: 80
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---
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[Source](https://arxiv.org/abs/cs/0408028 "Permalink to [cs/0408028] Calculus on Graphs")
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# [cs/0408028] Calculus on Graphs
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![][1]
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![Cornell University][2]
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[Cornell University][3] [Library][4]
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[We gratefully acknowledge support from
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the Simons Foundation
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and member institutions][5]
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# [arXiv.org][6] > [cs][7] > arXiv:cs/0408028
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All papers Titles Authors Abstracts Full text Help pages
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([Help][8] | [Advanced search][9])
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Full-text links:
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## Download:
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* [PDF][10]
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* [PostScript][11]
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* [Other formats][12]
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([license][13])
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### Current browse context:
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cs
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< [prev][14] | [next >][15]
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[new][16] | [recent][7] | [0408][17]
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### References & Citations
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* [NASA ADS][18]
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### [DBLP][19] \- CS Bibliography
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[listing][20] | [bibtex][21]
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[Joel Friedman][22]
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[Jean-Pierre Tillich][23]
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### Bookmark
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([what is this?][24])
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![CiteULike logo][25] ![BibSonomy logo][26] ![Mendeley logo][27] ![del.icio.us logo][28] ![Digg logo][29] ![Reddit logo][30] ![ScienceWISE logo][31]
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# Computer Science > Discrete Mathematics
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# Title: Calculus on Graphs
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Authors: [Joel Friedman][32], [Jean-Pierre Tillich][33]
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(Submitted on 12 Aug 2004)
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> Abstract: The purpose of this paper is to develop a "calculus" on graphs that allows graph theory to have new connections to analysis. For example, our framework gives rise to many new partial differential equations on graphs, most notably a new (Laplacian based) wave equation; this wave equation gives rise to a partial improvement on the Chung-Faber-Manteuffel diameter/eigenvalue bound in graph theory, and the Chung-Grigoryan-Yau and (in a certain case) Bobkov-Ledoux distance/eigenvalue bounds in analysis. Our framework also allows most techniques for the non-linear p-Laplacian in analysis to be easily carried over to graph theory.
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| ----- |
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| Comments: | 63 pages, LaTeX |
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| Subjects: | Discrete Mathematics (cs.DM); Combinatorics (math.CO) |
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| ACM classes: | G.2.2 |
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| Cite as: | [arXiv:cs/0408028][34] [cs.DM] |
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| | (or [arXiv:cs/0408028v1][35] [cs.DM] for this version) |
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## Submission history
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From: Joel Friedman [[view email][36]]
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[**v1]** Thu, 12 Aug 2004 18:04:23 GMT (46kb)
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[Which authors of this paper are endorsers?][37] | [Disable MathJax][38] ([What is MathJax?][39])
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Link back to: [arXiv][40], [form interface][41], [contact][42].
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![Twitter][43]
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[1]: //webanalytics.library.cornell.edu/piwik.php?idsite=538&rec=1
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[2]: https://arxiv.org/icons/cu/cul_signature_unstyled.gif
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[3]: http://www.cornell.edu/
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[4]: http://www.library.cornell.edu/
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[5]: https://confluence.cornell.edu/x/ALlRF
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[6]: https://arxiv.org/
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[7]: https://arxiv.org/list/cs/recent
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[8]: https://arxiv.org/help
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[9]: https://arxiv.org/find
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[10]: https://arxiv.org/pdf/cs/0408028
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[11]: https://arxiv.org/ps/cs/0408028
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[12]: https://arxiv.org/format/cs/0408028
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[13]: http://arxiv.org/licenses/assumed-1991-2003/ "Rights to this article"
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[14]: https://arxiv.org/abs/cs/0408027 "previous in cs (accesskey p)"
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[15]: https://arxiv.org/abs/cs/0408029 "next in cs (accesskey n)"
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[16]: https://arxiv.org/list/cs/new
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[17]: https://arxiv.org/list/cs/0408
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[18]: http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:cs/0408028
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[19]: http://www.informatik.uni-trier.de/~ley/db/
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[20]: http://www.informatik.uni-trier.de/~ley/db/journals/corr/corr0408.html#cs-DM-0408028 "listing on DBLP"
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[21]: http://dblp.uni-trier.de/rec/bibtex/journals/corr/cs-DM-0408028 "DBLP bibtex record"
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[22]: http://dblp.uni-trier.de/search/author?author=Joel%20Friedman "DBLP author search"
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[23]: http://dblp.uni-trier.de/search/author?author=Jean-Pierre%20Tillich "DBLP author search"
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[24]: https://arxiv.org/help/social_bookmarking
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[25]: https://static.arxiv.org/icons/social/citeulike.png
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[26]: https://static.arxiv.org/icons/social/bibsonomy.png
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[27]: https://static.arxiv.org/icons/social/mendeley.png
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[28]: https://static.arxiv.org/icons/social/delicious.png
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[29]: https://static.arxiv.org/icons/social/digg.png
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[30]: https://static.arxiv.org/icons/social/reddit.png
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[31]: https://static.arxiv.org/icons/social/sciencewise.png
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[32]: https://arxiv.org/find/cs/1/au:+Friedman_J/0/1/0/all/0/1
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[33]: https://arxiv.org/find/cs/1/au:+Tillich_J/0/1/0/all/0/1
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[34]: https://arxiv.org/abs/cs/0408028
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[35]: https://arxiv.org/abs/cs/0408028v1
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[36]: https://arxiv.org/show-email/a4f82f68/cs/0408028
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[37]: http://arxiv.org/auth/show-endorsers/cs/0408028
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[38]: javascript:setMathjaxCookie%28%29()
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[39]: https://arxiv.org/help/mathjax/
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[40]: http://arxiv.org/
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[41]: https://arxiv.org/form
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[42]: https://arxiv.org/help/contact
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[43]: https://static.arxiv.org/icons/twitter_logo_blue.png "Follow arXiv on Twitter"
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[*ACM]: Association of Computing Machinery Classification
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