Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Excluding infinite trees


Authors: P. D. Seymour and Robin Thomas
Journal: Trans. Amer. Math. Soc. 335 (1993), 597-630
MSC: Primary 05C75; Secondary 03E05, 03E35, 05C05
MathSciNet review: 1079058
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: For each infinite cardinal $ \kappa $ we give several necessary and sufficient conditions for a graph not to contain a minor isomorphic to the infinite $ \kappa $-branching tree in terms of a certain kind of a "tree-decomposition," in terms of a "path-decomposition," and also in terms of a "cops-and-robber game." We also give necessary and sufficient conditions for a graph not to contain a subgraph isomorphic to a subdivision of the same tree.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 05C75, 03E05, 03E35, 05C05

Retrieve articles in all journals with MSC: 05C75, 03E05, 03E35, 05C05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1079058-6
PII: S 0002-9947(1993)1079058-6
Article copyright: © Copyright 1993 American Mathematical Society