DMGT

MINIMAL REGULAR GRAPHS WITH GIVEN GIRTHS AND CROSSING NUMBERS

G.L. Chia

Institute of Mathematical Sciences
University of Malaya
50603 Kuala Lumpur, Malaysia

C.S. Gan

Faculty of Engineering and Technology
Multimedia University
75450 Malacca, Malaysia

This paper investigates on those smallest regular graphs with given girths and having small crossing numbers.

Keywords: regular graphs, girth, crossing numbers.

2000 Mathematics Subject Classification: 05C10, 05C35, 05C38.

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Received 24 June 2002
Revised 22 September 2003