John  Villalpando

John Villalpando, Ph.D

Professor of Mathematics



Ph.D:  Mathemaitcs - Clemson University

MS:  Mathematics - Clemson University

BS: Mathematics and Visual Arts - Eckerd College


Graph Theory and Combinatorics


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)