Ho, Pak Tung

Department of Mathematics, MATH 1044

Purdue University

West Lafayette, IN 47907-2067

pho@math.purdue.edu


Publications:

In Differential Geometry:

1. A first eigenvalue estimate for embedded hypersurfaces. Differential Geometry and its Applications. 26 (2008), 273-276. Link MathSciNet

2. Eigenvalue estimates for minimal hypersurfaces in hyperbolic space. Differential Geometry and its Applications. In press. Link

3. A remark on complete non-expanding Ricci solitons. Archiv der Mathematik. In press. Link

In Graph Theory:

1. The crossing number of $K_{1,5,n}, K_{2,4,n}$ and $K_{3,3,n}$. Int. J. Pure Appl. Math. 17 (2004), 491-515. MathSciNet

2. The crossing number of $K_{4,n}$ on the real projective plane. Discrete Math. 304 (2005), 23-33. Link MathSciNet Description from MathWorld

3. On groupies in graphs. Australian Journal of Combinatorics. 38 (2007), 173-178. Link MathSciNet

4. The crossing number of $C(3k+1; {1, k})$. Discrete Math. 307 (2007), 2771-2774. Link MathSciNet

5. A proof of the crossing number of $K_{3,n}$ in a surface. Discussiones Mathematicae Graph Theory. 27 (2007), 549-551. Link MathSciNet

6. The crossing number of $K_{2,2,2,n}$. Far East Journal of Applied Mathematics. 30 (2008), 43-69. Link MathSciNet

7. The crossing number of $K_{1,1,3,n}$. Ars Combinatoria. To appear.

8. A note on the total domination number. Utilitas Mathematica. To appear.

9. On the crossing number of some complete multipartite graphs. Utilitas Mathematica. Accepted.

10. The toroidal crossing number of $K_{4,n}$. Discrete Math. Revised. Proof of Lemma 6.3

11. The crossing number of $K_{1,m,n}$. Discrete Math. In press. Link

12. The crossing number of $K_{2,4,n}$. Ars Combinatoria. Accepted.