Regular colored graphs of positive degree
Regular colored graphs are dual representations of pure colored D-dimensional complexes. These graphs can be classified with respect to an integer, their degree, much like maps are characterized by the genus. We analyse the structure of regular colored graphs of fixed positive degree and perform the...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
1 Feb 2016
|
| Ausgabe: | Version v3 |
| In: |
Arxiv
Year: 2013, Pages: 1-45 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1307.5279
|
| Verfasserangaben: | Razvan Gurau and Gilles Schaeffer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1805158082 | ||
| 003 | DE-627 | ||
| 005 | 20221005154627.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220530r20162013xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.48550/arXiv.1307.5279 |2 doi | |
| 035 | |a (DE-627)1805158082 | ||
| 035 | |a (DE-599)KXP1805158082 | ||
| 035 | |a (OCoLC)1341460518 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Gurǎu, Rǎzvan |d 1980- |e VerfasserIn |0 (DE-588)1125382333 |0 (DE-627)879905778 |0 (DE-576)483375152 |4 aut | |
| 245 | 1 | 0 | |a Regular colored graphs of positive degree |c Razvan Gurau and Gilles Schaeffer |
| 250 | |a Version v3 | ||
| 264 | 1 | |c 1 Feb 2016 | |
| 300 | |a 45 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Version 1 vom 19. Juli 2013, Version 3 vom 1. Februar 2016 | ||
| 500 | |a Gesehen am 05.10.2022 | ||
| 520 | |a Regular colored graphs are dual representations of pure colored D-dimensional complexes. These graphs can be classified with respect to an integer, their degree, much like maps are characterized by the genus. We analyse the structure of regular colored graphs of fixed positive degree and perform their exact and asymptotic enumeration. In particular we show that the generating function of the family of graphs of fixed degree is an algebraic series with a positive radius of convergence, independant of the degree. We describe the singular behavior of this series near its dominant singularity, and use the results to establish the double scaling limit of colored tensor models. | ||
| 534 | |c 2013 | ||
| 650 | 4 | |a 05C30, 81T18 | |
| 650 | 4 | |a Mathematical Physics | |
| 650 | 4 | |a Mathematics - Combinatorics | |
| 700 | 1 | |a Schaeffer, Gilles |e VerfasserIn |0 (DE-588)130150835 |0 (DE-627)707411513 |0 (DE-576)298027941 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2016), Artikel-ID 1307.5279, Seite 1-45 |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Regular colored graphs of positive degree |
| 773 | 1 | 8 | |g year:2016 |g elocationid:1307.5279 |g pages:1-45 |g extent:45 |a Regular colored graphs of positive degree |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1307.5279 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220530 | ||
| 993 | |a Article | ||
| 994 | |a 2016 | ||
| 998 | |g 1125382333 |a Gurǎu, Rǎzvan |m 1125382333:Gurǎu, Rǎzvan |p 1 |x j | ||
| 999 | |a KXP-PPN1805158082 |e 4141351008 | ||
| BIB | |a Y | ||
| JSO | |a {"title":[{"title":"Regular colored graphs of positive degree","title_sort":"Regular colored graphs of positive degree"}],"person":[{"given":"Rǎzvan","family":"Gurǎu","role":"aut","roleDisplay":"VerfasserIn","display":"Gurǎu, Rǎzvan"},{"roleDisplay":"VerfasserIn","display":"Schaeffer, Gilles","role":"aut","family":"Schaeffer","given":"Gilles"}],"note":["Version 1 vom 19. Juli 2013, Version 3 vom 1. Februar 2016","Gesehen am 05.10.2022"],"type":{"bibl":"chapter","media":"Online-Ressource"},"recId":"1805158082","language":["eng"],"origin":[{"edition":"Version v3","dateIssuedDisp":"1 Feb 2016","dateIssuedKey":"2016"}],"id":{"eki":["1805158082"],"doi":["10.48550/arXiv.1307.5279"]},"name":{"displayForm":["Razvan Gurau and Gilles Schaeffer"]},"physDesc":[{"extent":"45 S."}],"relHost":[{"origin":[{"dateIssuedDisp":"1991-","dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}],"id":{"zdb":["2225896-6"],"eki":["509006531"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"pubHistory":["1991 -"],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"text":"(2016), Artikel-ID 1307.5279, Seite 1-45","extent":"45","year":"2016","pages":"1-45"},"type":{"media":"Online-Ressource","bibl":"edited-book"},"disp":"Regular colored graphs of positive degreeArxiv","note":["Gesehen am 28.05.2024"],"recId":"509006531","language":["eng"]}]} | ||
| SRT | |a GURAURAZVAREGULARCOL1201 | ||