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Zero Forcing on 2-connected Outerplanar Graphs

delete2026-05-11
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PRE
AI
I
Ison, Nolan
M
Mark Kempton *
F
Franklin Kenter
DOI:10.1007/s00373-026-03045-5delete
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Abstract

Abstract

En 中文
We determine upper and lower bounds on the zero forcing number of 2-connected outerplanar graphs in terms of the structure of the weak dual. We show that the upper bound is always at most half the number of vertices in the graph. This result generalizes work of Hern & aacute;ndez, Ranilla and Ranilla-Cortina in [4] who proved a similar result for maximal outerplanar graphs.
Keywords:
Zero forcing
Outerplanar graph
2-connected

Journal

G
Graphs and Combinatorics
IF:
0.6
Papers:
80
Citations:
0

Organization

State University System of Florida cover
State University System of Florida
Scholars:
12.7W
Papers: 10.9W
Citations: 130
U
university of florida
Scholars:
5.7K
Papers: 2.6K
Citations: 1