Upper bounds on scrambling index for non-primitive digraphs

2019 ◽  
pp. 1-26
Author(s):  
A. E. Guterman ◽  
A. M. Maksaev
Keyword(s):  
Upper Bounds ◽  
Primitive Digraphs ◽  
Scrambling Index

scholarly journals The scrambling index of primitive digraphs

2010 ◽  
Vol 60 (3) ◽  
pp. 706-721 ◽  
Author(s):  
Bolian Liu ◽  
Yufei Huang
Keyword(s):  
Primitive Digraphs ◽  
Scrambling Index

scholarly journals Some bounds of the generalized μ-scrambling indices of primitive digraphs with d loops

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ling Zhang ◽  
Gu-Fang Mou ◽  
Feng Liu ◽  
Zhong-Shan Li
Keyword(s):  
Upper Bounds ◽  
Primitive Digraph ◽  
Primitive Digraphs

AbstractIn 2010, Huang and Liu introduced a useful parameter called the generalized μ-scrambling indices of a primitive digraph. In this paper, we give some bounds for μ-scrambling indices of some primitive digraphs with d loops and the digraphs attained the sharp upper bounds are provided.

scholarly journals Primitive digraphs with the largest scrambling index

2009 ◽  
Vol 430 (4) ◽  
pp. 1099-1110 ◽  
Author(s):  
Mahmud Akelbek ◽  
Steve Kirkland
Keyword(s):  
Primitive Digraphs ◽  
Scrambling Index

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

Energy of spherical fuzzy graphs

2020 ◽  
pp. 321-332
Author(s):  
S. Yahya Mohamed ◽  
A. Mohamed Ali
Keyword(s):  
Adjacency Matrix ◽  
Upper Bounds ◽  
Fuzzy Graph ◽  
Lower And Upper Bounds ◽  
Fuzzy Graphs

In this paper, the notion of energy extended to spherical fuzzy graph. The adjacency matrix of a spherical fuzzy graph is defined and we compute the energy of a spherical fuzzy graph as the sum of absolute values of eigenvalues of the adjacency matrix of the spherical fuzzy graph. Also, the lower and upper bounds for the energy of spherical fuzzy graphs are obtained.

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