Topics in Domination in Graphs

Teresa W. Haynes has focused her research on domination in graphs for over 30 years and is perhaps best known for coauthoring  the 1998 book Fundamentals of Domination in Graphs and the companion volume Domination in Graphs: Advanced Topics. She has also co-edited 2 volumes in Springer's Problem Books in Mathematics  Graph Theory: Favorite Conjectures and Open Problems.  Haynes is also a co-author  of  the Springer Briefs in Mathematics  From Domination to Coloring: The Graph Theory of Stephen T. Hedetniemi.  Upon receiving her PhD from the University of Central Florida in 1988, she joined East Tennessee State University, where she is currently professor in the Department of Mathematics and Statistics.  Haynes has coauthored more than 200 papers on domination and domination-related concepts, which introduced some of the most studied concepts in domination, such as power domination, paired domination, double domination, alliances and broadcasts in graphs, and stratified domination. 

Stephen T. Hedetniemi is one of the earliest pioneers of domination in graphs along with E. J. Cockayne, who together proposed the theory of domination in graphs, in one of the most cited papers in the field in 1977.  He received his PhD from the University of Michigan in 1966, with two world-class advisors, graph theorist Frank Harary, and the pioneer of genetic algorithms and MacArthur Fellowship winner, John Holland.  He coauthored, the first book on domination in 1988 Fundamentals of Domination in Graphs, and co-edited a second book, Domination in Graphs: Advanced Topics. He also co-edited  2 volumes in Springer's Problem Books in Mathematics  Graph Theory: Favorite Conjectures and Open Problems. Since 1974 he has coauthored more than 300 papers, 180 of which are on domination and domination-related concepts.  Hedetniemi has introduced some of the most-studied concepts in domination theory, including total domination, independent domination, irredundance, Roman domination, power domination, alliances in graphs, signed and minus domination, fractional domination, domatic numbers, domination in grid graphs and chessboards, the first domination algorithms, the first domination NP-completeness results, and the first self-stabilizing domination algorithms.  After leaving the University of Michigan, he taught computer science at the University of Iowa, and the University of Virginia, spent a visiting year at the University of Victoria with E. J. Cockayne, and then became department head of Computer and information Science at the University of Oregon.  Since 1982 has been at Clemson University, where he served a five-year term as department head, and served on the Executive Committee of the Computing Accreditation Commission of ABET, Inc. He is currently Emeritus Professor of Computer Science in the School of Computing at Clemson University.