Positive semidefinite zero forcing numbers of two classes of graphs

2019 ◽  
Vol 786 ◽  
pp. 44-54 ◽  
Author(s):  
Lusheng Wang ◽  
Boting Yang
Keyword(s):  
Positive Semidefinite ◽  
Zero Forcing ◽  
Zero Forcing Numbers

Zero forcing number of fuzzy graphs with application

2020 ◽  
Vol 39 (3) ◽  
pp. 3873-3882
Author(s):  
Asefeh Karbasioun ◽  
R. Ameri
Keyword(s):  
Upper Bounds ◽  
Zero Forcing ◽  
Medical Treatments ◽  
Zero Forcing Number ◽  
Fuzzy Graphs ◽  
Forcing Number ◽  
Zero Forcing Numbers ◽  
Forcing Set ◽  
Zero Forcing Set

We introduce and study forcing number for fuzzy graphs. Also, we compute zero forcing numbers for some classes of graphs and extend this concept to fuzzy graphs. In this regard we obtain upper bounds for zero forcing of some classes of fuzzy graphs. We will proceed to obtain a new algorithm to computing zero forcing set and finding a formula for zero forcing number, and by some examples we illustrate these notions. Finally, we introduce some applications of fuzzy zero forcing in medical treatments.

Graphs of Unitary Matrices and Positive Semidefinite Zero Forcing

2013 ◽  
Vol 72 (3) ◽  
pp. 311-320
Author(s):  
Craig Larson ◽  
Brian Lins ◽  
Lon Mitchell
Keyword(s):  
Positive Semidefinite ◽  
Zero Forcing ◽  
Unitary Matrices

scholarly journals An integer program for positive semidefinite zero forcing in graphs

Networks ◽  
2020 ◽  
Vol 76 (3) ◽  
pp. 366-380
Author(s):  
Logan A. Smith ◽  
Derek J. Mikesell ◽  
Illya V. Hicks
Keyword(s):  
Positive Semidefinite ◽  
Integer Program ◽  
Zero Forcing

scholarly journals Line graphs: Their maximum nullities and zero forcing numbers

2016 ◽  
Vol 66 (3) ◽  
pp. 743-755 ◽  
Author(s):  
Shaun Fallat ◽  
Abolghasem Soltani
Keyword(s):  
Line Graphs ◽  
Zero Forcing ◽  
Zero Forcing Numbers

scholarly journals Positive semidefinite zero forcing

2013 ◽  
Vol 439 (7) ◽  
pp. 1862-1874 ◽  
Author(s):  
Jason Ekstrand ◽  
Craig Erickson ◽  
H. Tracy Hall ◽  
Diana Hay ◽  
Leslie Hogben ◽  
...  
Keyword(s):  
Positive Semidefinite ◽  
Zero Forcing
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