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
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
Projected Cost
$0.00
Funding Source
Operating Budget
Resulting Product
invited presentation
Citation

Jacob, Bonnie C. "Graphs in which all maximal failed zero forcing sets are maximum." Joint Mathematics Meetings. American Mathematical Society. Seattle, WA. 11 Jan. 2025. Conference Presentation. *

Abstract

A failed zero forcing set on a graph G is simply a set of vertices that do not form a zero forcing set of G. The maximum cardinality of any failed zero forcing set on is known as the failed zero forcing number of G and is denoted F(G). For many graphs, there exist maximal failed zero forcing sets with fewer than F(G) vertices. However, in some graphs, every maximal failed zero forcing set is also a maximum failed zero forcing set. We call such graphs well-failed graphs. In this talk, we establish some preliminary results about well-failed graphs, and discuss the relationship with forts as well.

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