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Prof Peter Dankelmann

Prof Peter Dankelmann
Prof Peter Dankelmann
Department of Mathematics and Applied Mathematics
Professor‚Äč

Contact Details
C Ring 517
+27 (0) 11 559 4320
APK

Highest Qualification          

 Dr. rer. nat.

Field(s) of Research

 Graph Theory

Lecturing Experience:

 Graph Theory and most subjects in Mathematics

List of Publications:

1.     P. Dankelmann, E. Jonck, T. Vetrik, The degree-diameter problem for outerplanar graphs.Discussiones Mathematical Graph Theory (to appear).

2.     P. Ali, P. Dankelmann, M.J. Morgan, S. Mukwembi, H.C. Swart, T. Vetrik, The average eccentricity, spanning trees of plane graphs, size and order. 

 3.     Utilitas Mathematica (to appear) 

 4.     P. Dankelmann, New bounds on proximity and remoteness in graphs. Communications in Combinatorics and Optimization, no 1 vol. 1 (2016), 28-40

 5.     P. Dankelmann, M. Dorfling, Diameter and maximum degree of Eulerian digraphs. Discrete Mathematics 339 no. 4 (2016), 1355-1361. 

 6.     P. Dankelmann, D. Meierling, Maximally edge-connected hypergraphs. Discrete Mathematics 339 no. 1 (2016), 33-38. 

 7.     P. Dankelmann, On the number of resolving pairs in graphs. Graphs and Combinatorics 31 (no. 6) (2015), 2175-2180. 

 8.     S. Bau, P. Dankelmann, Diameter of orientations of graphs with given minimum degree. European Journal of Combinatorics 49 (2015), 126-133. 

 9.     P. Dankelmann, Proximity, remoteness, and minimum degree. Discrete Applied Mathematics 184 (2015), 223-228. 

 10.  P. Dankelmann, Distance and size in digraphs. Discrete Mathematics 338 (no. 1) (2015), 144-148. 

 11.  P. Ali, P. Dankelmann, S. Mukwembi,  The Steiner diameter of 3-, 4-, and 5-connected maximal planar graphs. Discrete Applied Mathematics

        179 (2014), 222-228.

12.  P. Dankelmannn, M.J. Morgan, S. Mukwembi, H.C. Swart, On the eccentric connectivity index and Wiener index of a graph.      

       Quaestiones Mathematicae      37 no. 1 (2014), 39-47. 

 13.  P. Dankelmann, D. Erwin, W.D. Goddard, S. Mukwembi, H.C. Swart,  A Characterisation of Eccentric Sequences of Maximal Outerplanar

       Graphs. Australasian Journal of Combinatorics 58 no. 3 (2014), 376-391. 

 14.  P. Dankelmann and S. Mukwembi, Upper bounds on the average eccentricity. Discrete Applied Mathematics 167 (2014), 72-79. 

 15.  P. Dankelmann, T. Vetrik, The degree-diameter problem for claw-free graphs and hypergraphs. 

 16.  Journal of Graph Theory 75 no. 2 (2014), 105-123.

 17.  P. Dankelmann, W.D. Goddard, C.A. McPillan, H.C. Swart  A note on extremal values of the scattering number. Taiwanese Journal of

       Mathematics 17 no. 5 (2013), 1651-1658.

 18.  P. Dankelmann, J.D. Key, B. Rodriges, A characterization of graphs by codes from their incidence matrices. Electronic Journal of

       Combinatorics 20 no. 3 (2013), Paper 18.

 19.  P. Dankelmann, J.D. Key, B. Rodriges, Codes from incidence matrices of graphs. Designs, Codes, and Cryptography 68 no. 1-3 (2013), 373-393. 

 20.  C. Biro, E. Czabarka, P. Dankelmann, L. Szekely,  Remarks on the domination number of graphs. Bulletin of the Institute of Combinatorics and

        its Applications 64 (2012) 73-82. 

 21.  P. Ali, P. Dankelmann, S. Mukwembi, Upper bounds on the Steiner diameter of a graph. Discrete Applied Mathematics 160 issue 12 (2012), 1845-1850.

 22.  P. Ali, P. Dankelmann, S. Mukwembi, The radius of k-connected planar graphs with bounded faces. Discrete Mathematics

        312 issue 24 (2012), 3636-3642.

Supervision Information:

PhD:

 V. Smithdorf, Aspects of distance and domination in graphs

G. Dlamini, Aspects of distances in graphs

S. Mukwembi, Bounds on distances in graphs

P van den Berg, Bounds on distance parameters of graphs

P. Ali, Aspects of distance measures in graphs

Additional information

I am Editor-in-Chief of the Communications in Combinatorics and Optimization

http://comb-opt.azaruniv.ac.ir/

I am a member of the editorial boards of Utilitas Mathematica

http://bkocay.cs.umanitoba.ca/utilitas/index.html

and the Electronic Journal of Graph Theory and its Applications

http://www.ejgta.org/index.php/ejgta

I am an NRF B-rated researcher.

I am a member of the Academy of Science of South Africa 

https://www.assaf.org.za/

I am a Fellow of the University of KwaZulu-Natal  

http://www.ukzn.ac.za/

I am a Fellow of the Institute of Combinatorics and Its Applications

http://www.math.uwaterloo.ca/~dstinson/icawebpages/ICAindex.html