Faculty Profile

Mark Kayll

Professor

Office: MATH 209
Email: mark.kayll@umontana.edu
Phone: 406.243.2403
Phone: 406.243.2403
Office Hours:

Tuesday 3:00 -- 3:50pm and Thursday: 2:00 -- 2:50pm; and by appointment (informal or otherwise)

Meetings are by Zoom; please see course syllabus for information.

B.Sc. in Mathematics and Statistics, Simon Fraser University
Ph.D. in Mathematics, Rutgers University

Discrete Mathematics, Optimization, Theoretical Computer Science

D. Perkins and P.M. Kayll, A chip-firing variation and a Markov chain with uniform stationary distribution, Australasian Journal of Combinatorics 68 (2017), 330–345
P.M. Kayll, Two chromatic conjectures: one for vertices and one for edges, Chapter 11 in Graph Theory – Favorite Conjectures and Open Problems – 1 (R. Gera, S.T. Hedetniemi, and C.E. Larson, eds.), pp. 171–194, Problem Books in Mathematics, Springer International, Switzerland, 2016
P.M. Kayll, Deranged matchings: enumeration by integration!!, American Mathematical Monthly 122 (2015), 51
A. Harutyunyan, P.M. Kayll, B. Mohar and L. Rafferty, Uniquely D-colourable digraphs with large girth, Canadian Journal of Mathematics 64 (2012), 1310–1328
P.M. Kayll, Integrals don’t have anything to do with discrete math, do they?, Mathematics Magazine 84 (2011), 108–119
P.M. Kayll, König-Egerváry graphs are non-Edmonds, Graphs and Combinatorics 26 (2010), 721–726
P.M. Kayll, A note on weak Sidon sequences, Discrete Mathematics 299 (2005), 141–144
D. Bokal, G. Fijavz, M. Juvan, P.M. Kayll and B. Mohar, The circular chromatic number of a digraph, Journal of Graph Theory 46 (2004), 227–240
S.P. McAlister, A.D. Inglis and P.M. Kayll, Conduction in cosputtered Au-SiO₂ films, Physical Review B 31 (1985), 5113–5120

Provost’s Distinguished Faculty Lecturer, 2013
Carl B. Allendoerfer Award, Mathematical Association of America, 2012
Canadian Achievers Dinner guest, by invitation of Prime Minister Pierre Elliott Trudeau, in the presence of Queen Elizabeth II, on the occasion of the Proclamation of the Constitution Act, 1982
Governor General’s Bronze Medal, Canada, 1981

Mathematical Sciences

Discrete Mathematics (Combinatorics and Graph Theory); Mathematics of Finite Sets and Graph Models

AMS, CMS, MAA, ICA (Elected Member of ICA Council, 2017–2023)