John Villalpando, Ph.D

Education

Ph.D:  Mathemaitcs - Clemson University

MS:  Mathematics - Clemson University

BS: Mathematics and Visual Arts - Eckerd College

Expertise

Graph Theory and Combinatorics

Publications

With V. Coufal, K. Fogel, A. Higgins, W. Higgins and K. Yerion, Trees for Given Values of the Span, Caps and Icaps for L(2,1)-colorings, Congressus Numerantium, 227(2016), pp139 - 155. (refereed)

With L. Kelly, B. Carney, S. Wendt, R. Hass, B.J. Ranieri and T. K. Berg, Development of Actigraph GT1M Accelerometer cut-points for young children ages 12 - 36 months, Journal of Athletic Enhancement 5:4(2016).  (refereed)

With V. Coufal, R. Ray and K. Yerion, The Cardinality of the Image of L(2,1)-Colorings and Irreducible L(2,1)-Colorings, Congressus Numerantium, 220(2014), pp. 97 - 108. (refereed)

With R. Laskar and J. Jacob, On the Irreducible No-hole L(2, 1) Coloring of Bipartite Graphs and Cartesian Products, JCMCC 78(2011), pp. 49-64.  (refereed)

With R. Laskar, G. Matthews, and B. Novick, On Irreducible No-Hole L(2,1)-Coloring of Trees, Networks,  53(2009) no. 2, pp. 206 – 211.  (refereed)

With R. Jamison and G. Matthews, Acyclic colorings of Products of Trees, Information Processing Letters, 99(2006) no. 1, pp. 7 – 12.  (refereed)

With R. Laskar, Irreducibility of L(2,1)-coloring and inh-colorablity of unicyclic and hex graphs, Utilitas Mathematica, 69(2006), pp. 65 – 83.   (refereed)

With R. Laskar, Parameters Concerning Cycle-Domination, Congressus Numerantium 170(2004). pp. 51 – 63.  (refereed)

With S. Hedetniemi et al., Gallai theorems involving domination parameters, Congressus Numerantium 157(2002), pp. 149 - 157.   (refereed)

With R. Laskar, Domination Parameters for weighted graphs, Congressus Numerantium 148(2001), pp. 103 – 111.  (refereed)