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2021 ◽  
Vol 37 ◽  
pp. 562-582
Author(s):  
Sunil Das

Characterization of potentially stable sign pattern matrices has been a long-standing open problem. In this paper, we give some sufficient conditions for tree sign pattern matrices with all edges negative to allow a properly signed nest. We also characterize potentially stable star and path sign pattern matrices with all edges negative. We give a conjecture on characterizing potentially stable tree sign pattern matrices with all edges negative in terms of allowing a properly signed nest which is verified to be true for sign pattern matrices up to order 6. Finally, we characterize all 5-by-5 spectrally arbitrary tree sign pattern matrices with all edges negative.


Author(s):  
M. Yamuna ◽  
K. Karthika
Keyword(s):  

2008 ◽  
Vol DMTCS Proceedings vol. AI,... (Proceedings) ◽  
Author(s):  
Philippe Marchal

International audience We introduce a recursive algorithm generating random trees, which we identify as skeletons of a continuous, stable tree. We deduce a representation of a fragmentation process on these trees.


1989 ◽  
Vol 126 ◽  
pp. 1-13 ◽  
Author(s):  
Charles R. Johnson ◽  
Tracy A. Summers
Keyword(s):  

Ecology ◽  
1953 ◽  
Vol 34 (1) ◽  
pp. 63-73 ◽  
Author(s):  
Charles E. Pound ◽  
Frank E. Egler
Keyword(s):  
New York ◽  

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