Jacob
First Name
Bonnie
Last Name
Jacob
Department
Science and Mathematics
Scholarship Year
2025
Research Center
Non-Center Based
Scholarship Type
Invited Keynote/Presentation
Contributors List
Bonnie C. Jacob, Cheryl Grood, Erika King, Ruth Haas, Shahla Nasserasr
Project Title
Well parameters
Start Date - Month
June
Start Date - Year
2021
End Date Anticipated - Month
May
End Date Anticipated - Year
2024
End Date Actual - Month
May
End Date Actual - Year
2025
Review Types
Blind Peer Reviewed
Student Assistance
None
Funding Source
Grant
Resulting Product
invited presentation
Citation

Jacob, Bonnie C., et al. "When "wellness" meets zero forcing." 56th Southeastern International Conference on Combinatorics, Graph Theory, and Computing. Florida Atlantic University. Boca Raton, FL. 4 Mar. 2025. Conference Presentation. *

Abstract

Well-covered graphs, investigated starting in the 1970s, are graphs in which all minimal
vertex covers are minimum vertex covers. Well-dominated graphs, investigated since the
1980s, are graphs in which all minimal dominating sets are minimum dominating sets. More recently, since 2020, applying the “well” idea to zero forcing parameters has begun to be investigated. We will discuss well-forced and well-failed graphs, which are graphs in which every minimal zero forcing set is a minimum zero forcing set, and every maximal zero forcing set is a maximum zero forcing set, respectively. We’ll also discuss some recent related work.

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