Title

On the edge-reconstruction of graphs embedded in surfaces IV

Authors

Authors

Y. Zhao

Comments

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Abbreviated Journal Title

Discret. Math.

Keywords

edge-reconstruction; girth; Mathematics

Abstract

In this paper, by applying the discharging method, we give simple proofs that (1) every n-vertex graph with minimum degree at least 3 and girth at least 5 that is embeddable in a surface Sigma of Euler characteristic at least -n/8 is edge-reconstructible, and (2) every n-vertex graph with minimum degree at least 4 that is embeddable without faces of length at most 3 in a surface Sigma of Euler characteristic at least -n/6 is edge-reconstructible. (C) 2002 Elsevier Science B.V. All rights reserved.

Journal Title

Discrete Mathematics

Volume

263

Issue/Number

1-3

Publication Date

1-1-2003

Document Type

Article

Language

English

First Page

331

Last Page

338

WOS Identifier

WOS:000181300600029

ISSN

0012-365X

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