Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On Better-Quasi-Ordering
Countable Series-Parallel Orders

Author: Stéphan Thomassé
Journal: Trans. Amer. Math. Soc. 352 (2000), 2491-2505
MSC (1991): Primary 05C20; Secondary 05C05, 08A65, 05C75
Published electronically: April 7, 1999
MathSciNet review: 1624214
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that any infinite sequence of countable series-parallel orders contains an increasing (with respect to embedding) infinite subsequence. This result generalizes Laver's and Corominas' theorems concerning better-quasi-order of the classes of countable chains and trees.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 05C20, 05C05, 08A65, 05C75

Retrieve articles in all journals with MSC (1991): 05C20, 05C05, 08A65, 05C75

Additional Information

Stéphan Thomassé
Affiliation: Laboratoire LMD, UFR de Mathématiques, Université Claude Bernard 43, Boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France

PII: S 0002-9947(99)02400-9
Keywords: Better-quasi-order, interval, series-parallel graphs, series-parallel orders, structured trees, well-quasi-order
Received by editor(s): October 4, 1995
Received by editor(s) in revised form: January 6, 1998
Published electronically: April 7, 1999
Additional Notes: This work was supported in part by the DIMANET program, Human Capital and Mobility (HCM) Contract No. ERBCHRXCT 940429
Article copyright: © Copyright 2000 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia