D-Index & Metrics Best Publications
Mathematics
South Africa
2023
Computer Science
South Africa
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 49 Citations 10,880 465 World Ranking 836 National Ranking 2
Computer Science D-index 49 Citations 10,877 459 World Ranking 3832 National Ranking 3

Research.com Recognitions

Awards & Achievements

2023 - Research.com Computer Science in South Africa Leader Award

2023 - Research.com Mathematics in South Africa Leader Award

2022 - Research.com Computer Science in South Africa Leader Award

2022 - Research.com Mathematics in South Africa Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Discrete mathematics
  • Graph theory

Michael A. Henning mainly investigates Combinatorics, Discrete mathematics, Domination analysis, Dominating set and Graph. His study ties his expertise on Upper and lower bounds together with the subject of Combinatorics. His work in Vertex, Neighbourhood, Bound graph, Vertex and Bipartite graph is related to Discrete mathematics.

His biological study spans a wide range of topics, including Graph theory, Planar graph, Cartesian product and Conjecture. His research in Dominating set intersects with topics in Characterization and Connectivity. His Graph research incorporates themes from Minimum weight and Graph theoretic.

His most cited work include:

  • Domination in Graphs Applied to Electric Power Networks (242 citations)
  • A survey of selected recent results on total domination in graphs (214 citations)
  • Domination in graphs (191 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Combinatorics, Discrete mathematics, Graph, Domination analysis and Vertex. Dominating set, Connectivity, Neighbourhood, Bound graph and Conjecture are the subjects of his Combinatorics studies. His Discrete mathematics study frequently links to related topics such as Upper and lower bounds.

His Graph research includes themes of Disjoint sets, Graph theory and Degree. His research integrates issues of Minimum weight, Regular graph and Cartesian product in his study of Domination analysis. His Vertex research is multidisciplinary, incorporating elements of Hypergraph, Cardinality, Cubic graph and Dominator.

He most often published in these fields:

  • Combinatorics (93.57%)
  • Discrete mathematics (56.52%)
  • Graph (49.53%)

What were the highlights of his more recent work (between 2018-2021)?

  • Combinatorics (93.57%)
  • Graph (49.53%)
  • Domination analysis (48.77%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Combinatorics, Graph, Domination analysis, Vertex and Dominating set. In his study, which falls under the umbrella issue of Combinatorics, Order is strongly linked to Cardinality. His Graph research entails a greater understanding of Discrete mathematics.

Michael A. Henning has researched Domination analysis in several fields, including Approximation algorithm, Graph theory, Regular graph, Vertex and Minimum weight. His work on Induced subgraph as part of general Vertex study is frequently connected to Colored, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His work in Dominating set tackles topics such as Independent set which are related to areas like Complete bipartite graph.

Between 2018 and 2021, his most popular works were:

  • Algorithmic aspects of semitotal domination in graphs (16 citations)
  • Perfect Italian domination in trees (13 citations)
  • Maker–Breaker total domination game (8 citations)

In his most recent research, the most cited papers focused on:

  • Combinatorics
  • Graph theory
  • Graph

His scientific interests lie mostly in Combinatorics, Graph, Domination analysis, Vertex and Dominating set. Combinatorics connects with themes related to Upper and lower bounds in his study. His Domination analysis study necessitates a more in-depth grasp of Discrete mathematics.

His work on Regular graph as part of general Discrete mathematics study is frequently linked to Weighting, bridging the gap between disciplines. His studies deal with areas such as Connected dominating set, Cubic graph and Hamiltonian path as well as Vertex. His Dominating set research is multidisciplinary, incorporating elements of Disjoint sets, Independent set and Outerplanar graph.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Domination in graphs

Teresa W. Haynes;Michael A. Henning.
(1998)

1604 Citations

Total Domination in Graphs

Michael A. Henning;Anders Yeo.
(2013)

439 Citations

Domination in Graphs Applied to Electric Power Networks

Teresa W. Haynes;Sandra M. Hedetniemi;Stephen T. Hedetniemi;Michael A. Henning.
SIAM Journal on Discrete Mathematics (2002)

368 Citations

A survey of selected recent results on total domination in graphs

Michael A. Henning.
Discrete Mathematics (2009)

327 Citations

Minus domination in regular graphs

Jean Dunbar;Stephen Hedetniemi;Michael A. Henning;Alice A. McRae.
Discrete Mathematics (1996)

213 Citations

Independent domination in graphs: A survey and recent results

Wayne Goddard;Michael A. Henning.
Discrete Mathematics (2013)

209 Citations

Defending the Roman Empire-A new strategy

Michael A. Henning;Stephen T. Hedetniemi.
Discrete Mathematics (2003)

205 Citations

RAINBOW DOMINATION IN GRAPHS

Boˇstjan Breˇsar;Michael A. Henning;Douglas F. Rall.
Taiwanese Journal of Mathematics (2008)

197 Citations

Vizing's conjecture: a survey and recent results

Boštjan Brešar;Paul Dorbec;Wayne Goddard;Bert L. Hartnell.
Journal of Graph Theory (2012)

151 Citations

Global Defensive Alliances in Graphs

Teresa W. Haynes;Stephen T. Hedetniemi;Michael A. Henning.
Electronic Journal of Combinatorics (2003)

141 Citations

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