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The Pushpa Publishing House proposes to organize a five day "International Conference on Mathematics of Date" from December 31, 2010 to January 04, 2011 scheduled to be held at Allahabad, India.

 
  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 30, Issue 1, Pages 43 - 69 (January 2008)


THE CROSSING NUMBER OF

Pak Tung Ho (U.S.A.)

Received December 12, 2006

References:



[1] K. Asano, The crossing number of
and J. Graph Theory 10 (1986), 1-8.

[2] E. deKlerk, J. Maharry, D. Pasechnik, R. B. Richter and G. Salazar, Improved bounds for the crossing numbers of
and SIAM J. Discrete Math. 20 (2006), 189-202.

[3] M. R. Garey and D. S. Johnson, Crossing number is NP-complete, SIAM J. Alg. Disc. Meth. 1 (1983), 312-316.

[4] H. Harborth, Über die Kreuzungszahl vollständiger, n-geteilter Graphen, Math. Nachr. 48 (1971), 179-188.

[5] H. Harborth, Parity of numbers of crossings for complete n-partite graphs, Math. Slovaca 26 (1976), 77-95.

[6] P. T. Ho, On the crossing number of some complete multipartite graphs, Graphs Combin., submitted.

[7] P. T. Ho, The crossing number of Discrete Math., submitted.

[8] D. J. Kleitman, The crossing number of J. Combin. Theory 9 (1970), 315-323.

[9] L. A. Székely, A successful concept for measuring non-planarity of graphs: the crossing number, Discrete Math. 276(1-3) (2004), 331-352.

[10] D. R. Woodall, Cyclic-order graphs and Zarankiewicz’s crossing number conjecture, J. Graph Theory 17 (1993), 657-671.

Keywords and phrases: crossing number, multipartite graph.

 


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