*-Finite Graph and Its Applications

Author:

Chen Dong Li1,Zhang Yan2,Ma Chun Hui1

Affiliation:

1. School of Science, Xi’an University of Architecture and Technology

2. Xi’an University of Architecture and Technology

Abstract

By the method of nonstandard analysis, the definition of *-finite graph is given, and necessary and sufficient conditions of *-finite graph are obtained. Further, by the Transfer Principle, we apply the theory of finite graph to *-finite graph, embed given infinite graph into some *-finite graph, and finally obtain the related results of infinite graph.

Publisher

Trans Tech Publications, Ltd.

Reference15 articles.

1. Atsushi Imiya, Akihiko Torii and Kosuke Sato, Electronic Notes in Discrete Mathematics Vol. 20 (2005) 217-232.

2. Enrique Castaneda, Alejandro Illanes, Topology and its Applications Vol. 153 (2006) 1434-1450.

3. Norbert Polat, Discrete Math Vol. 285 (2004) 239-256.

4. F. Javier Thayer, Houston Journal of Mathematics Vol. 29 (2003) 403-436.

5. A. H. Zemanian, CEAS Technical Report 803, University at Stony Brook, Stony Brook, New York (2002).

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