IJPAM: Volume 56, No. 3 (2009)
ASYMPTOTIC RAYS
Oleksii Kuchaiev
, Anastasiia Tsvietkova
Department of Computer Science
Donald Bren School of Information and Computer Sciences
University of California
3019, Donald Bren Hall, Irvine, CA 92697-3435, USA
e-mail: oleksii.kuchaiev@uci.edu
Department of Mathematics
The University of Tennessee
104, Aconda Court, 1534, Cumberland Avenue
Knoxville, TN 37996-0612, USA
e-mail: tsvietkova@math.utk.edu
, Anastasiia Tsvietkova
Department of Computer Science
Donald Bren School of Information and Computer Sciences
University of California
3019, Donald Bren Hall, Irvine, CA 92697-3435, USA
e-mail: oleksii.kuchaiev@uci.edu
Department of Mathematics
The University of Tennessee
104, Aconda Court, 1534, Cumberland Avenue
Knoxville, TN 37996-0612, USA
e-mail: tsvietkova@math.utk.edu
Abstract.We prove
that a graph 
is asymptotically isomorphic to the ray if
and only if is uniformly spherically bounded and is of
bounded local degrees. This problem arouse in combinatorics and was posed
in [#!ballstruct!#] (Problem 10.1).
Received: August 24, 2009
AMS Subject Classification: 54A05, 54E15, 05C60
Key Words and Phrases: ray, ballean, asymorphismx
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 56
Issue: 3