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Prof Mike Henning

Prof Mike Henning
Prof Mike Henning
Department of Mathematics and Applied Mathematics
Research Professor

Contact Details
C Ring 518
+27 (0) 11 559 4080
APK

Highest Qualification          

PhD

Field(s) of Research

Graph Theory

Lecturing Experience:

Undergraduate Courses: Advanced Calculus; Calculus; Linear Algebra; Discrete Mathematics; Combinatorics; Linear

Programming; Graph Theory; Elementary Number Theory and Cryptology.

Graduate Courses: Graph Theory.

Service Courses: Differential and Integral Calculus for Engineers; Differential and Integral Calculus for Life Sciences; Algebra and Number Theory; Discrete Mathematics for Computer Sciences.

List of Publications:

1.     M. A. Henning, Edge weighting functions on semitotal dominating sets. Graphs and Combinatorics 33 (2017), 403—417.

2.     J. Azarija, M. A. Henning, and S. Klavzar, (Total) domination in prisms.  Electronic Journal of Combinatorics 24(1) (2017), #P1.19.

3.     C. Bujtas, M. A. Henning, and Z. Tuza, Bounds on the game transversal number in hypergraphs. European Journal of Combinatorics 59 (2017), 34--50.

4.     M. A. Henning and A. Yeo, Transversals in 4-uniform hypergraph. Electronic Journal of Combinatorics 23(3) (2016), #P3.50.

 5.     C. Bujtas, M. A. Henning, and Z. Tuza, Transversal game on hypergraphs and the 3/4-Conjecture on the total domination game. SIAM Journal

         of Discrete Mathematics 30(3) (2016), 1830--1847.
 

6.     M. A. Henning and C. Loewenstein, The Fano plane and the strong independence ratio in hypergraphs of maximum degree three. Journal of

        Graph Theory 82(2) (2016), 196--208.

 7.     M. A. Henning and W. B. Kinnersley, Domination Game: A proof of the 3/5-Conjecture for graphs with minimum degree at least two. SIAM Journal

         of Discrete Mathematics 30(1) (2016), 20--35.

8.     F. Foucaud and M. A. Henning, Location-domination and matching in cubic graphs. Discrete Mathematics 339 (2016),  1221--1231.  

9.     A. Eustis, M. A. Henning, and A. Yeo, Independence in 5-uniform hypergraphs. Discrete Mathematics 339 (2016),  1004—1027.

10.  M. A. Henning, S. Klavzar and D. Rall, Total version of the domination game. Graphs and Combinatorics 31(5) (2015), 1453—1462.

11.  M. A. Henning, Total dominator colorings and total domination in graphs. Graphs and Combinatorics 31 (2015), 953--974.

12.  P. Dorbec, M. A. Henning, M. Montassier, and J. Southey, Independent domination in cubic graphs. Journal of Graph Theory 80(4) (2015), 329--349.

13.  M. A. Henning and A. Yeo, On $2$-colorings of hypergraphs. Journal of Graph Theory 80(2) (2015), 112--135.

14.  M. A. Henning and A. Yeo, Total transversals in hypergraphs and their applications. SIAM Journal of Discrete Mathematics 29(1) (2015), 309--320.

15.  C. Bujtas, M. A. Henning, Zs. Tuza and A. Yeo, Total transversals and total domination in uniform hypergraphs. Electronic Journal of Combinatorics

        21(2) (2014), #P2.24.

16.  W. J. Desormeaux, T. W. Haynes, M. A. Henning and A. Yeo, Total domination numbers of graphs with diameter two. Journal of Graph Theory

        75 (2014), 91–-103.

17.  M. A. Henning and A. Yeo, Total domination in graphs (Springer Monographs in Mathematics) 2013. ISBN: 978-1-4614-6524-9

       (Print) 978-1-4614-6525-6 (Online).

18.  J. Southey and M. A. Henning, Edge weighting functions on dominating sets. Journal of Graph Theory 72 (2013), 346–-360.

19.  M. A. Henning and A. Yeo, Lower bounds on the size of maximum independent sets and matchings in hypergraphs of rank three. Journal of

       Graph   Theory 72 (2013), 220--245. 

 20.  M. A. Henning and A. Yeo, Transversals and matchings in 3-uniform hypergraphs. European Journal of Combinatorics 34 (2013), 217--228.

Supervision Information

1.     Hiren Maharaj, Graph and digraph embedding problems (March 1996)

2.     Laura Harris, Aspects of functional variations of domination in graphs (November 2003; co-supervisor: Dr J. H. Hattingh)

3.     Jakes Maritz, Stratification and domination in graphs (April 2006)

 4.     Justin Southey, Domination results: vertex partitions and edge weight functions (May 2012)

 5.     Wyatt J. Desormeaux, Total domination in graphs and graph modifications (May 2012; co-supervisor: Dr. T. W Haynes)

 6.     John McCoy, Paired-domination in graphs (March 2013)

 7.     Viroshan Naicker, Disjunctive total domination in graphs (June 2015)

 8.     Alister Marcon, Semitotal domination in graphs (June 2015)

 9.     Sinclair Marcon, Disjunctive domination in graphs (June 2015)

Additional Information

Awards:

2015 – 2020: A-Rating (National Research Foundation)

2013: Vice-Chancellor's Distinguished Award (Research of the Year: University of Johannesburg)

2009 – 2014: A-Rating (National Research Foundation)

2005: Award for Research Distinction (South African Mathematical Society)

2000: Hall Medal (Institute of Combinatorics and Applications)            

1998: Meiring Naude Medal (Royal Society of South Africa)

1996: Vice-Chancellor's Distinguished Award (Research of the Year, University of Natal)

1996 – 1999: Presidents Award (Foundation for Research Development)

Editorial Boards of Scientific Journals

•           Graphs and Combinatorics

•           Discussiones Mathematicae Graph Theory

•           Quaestiones Mathematicae

•           Discrete Mathematics & Theoretical Computer Science

•           Utilitas Mathematica (Managing Editor for 10 years)