scholarly journals A note on the upper bounds on the size of bipartite and tripartite 1-embeddable graphs on surfaces

2020 ◽  
Author(s):  
Hikari Shibuya ◽  
Yusuke Suzuki
Keyword(s):  
Upper Bounds ◽  
Graphs On Surfaces

Upper bounds on the maximum degree of class two graphs on surfaces

2020 ◽  
Vol 343 (3) ◽  
pp. 111738
Author(s):  
Katie Horacek ◽  
Rong Luo ◽  
Zhengke Miao ◽  
Yue Zhao
Keyword(s):  
Maximum Degree ◽  
Upper Bounds ◽  
Graphs On Surfaces

scholarly journals Upper bounds for the signless Laplacian spectral radius of graphs on surfaces

Filomat ◽  
2016 ◽  
Vol 30 (13) ◽  
pp. 3473-3481
Author(s):  
Xiaodan Chen ◽  
Yaoping Hou
Keyword(s):  
Spectral Radius ◽  
Upper Bounds ◽  
Outerplanar Graphs ◽  
Laplacian Spectral Radius ◽  
Signless Laplacian Spectral Radius ◽  
Signless Laplacian ◽  
Graphs On Surfaces ◽  
Halin Graphs

In this paper, we present some new upper bounds for the signless Laplacian spectral radius of graphs embeddable on a fixed surface, which improve several previously known results. We also give several improved upper bounds for the signless Laplacian spectral radius of outerplanar graphs and Halin graphs.

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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