Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Disjoint paths, planarizing cycles, and
spanning walks

Author: Xingxing Yu
Journal: Trans. Amer. Math. Soc. 349 (1997), 1333-1358
MSC (1991): Primary 05C38, 05C10, 57M15
MathSciNet review: 1401533
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study the existence of certain disjoint paths in planar graphs and generalize a theorem of Thomassen on planarizing cycles in surfaces. Results are used to prove that every 5-connected triangulation of a surface with sufficiently large representativity is hamiltonian, thus verifying a conjecture of Thomassen. We also obtain results about spanning walks in graphs embedded in a surface with large representativity.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 05C38, 05C10, 57M15

Retrieve articles in all journals with MSC (1991): 05C38, 05C10, 57M15

Additional Information

Xingxing Yu
Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
Address at time of publication: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240

Keywords: bridge, disjoint paths, embedding, Hamilton cycle, representativity, walk
Received by editor(s): August 20, 1993
Additional Notes: Partially supported by NSF grants DMS–9105173 and DMS–9301909
Article copyright: © Copyright 1997 American Mathematical Society