scholarly journals Extremal energy of digraphs with two linear subdigraphs

2016 ◽  
Vol 40 (1) ◽  
pp. 79-89 ◽  
Author(s):  
Rashid Farooq ◽  
Mehtab Khan ◽  
Yasir Masood
Keyword(s):  
Extremal Energy

Graphs with few distinct eigenvalues and extremal energy

2021 ◽  
Author(s):  
N.E. Arévalo ◽  
R.O. Braga ◽  
V.M. Rodrigues
Keyword(s):  
Extremal Energy

scholarly journals DUAL LIMIT ANALYSIS PROBLEMS WITH DISCONTINUITY OF DISPLACEMENT VELOCITIES

1995 ◽  
Vol 1 (2) ◽  
pp. 20-25
Author(s):  
S. Kalanta
Keyword(s):  
Energy Dissipation ◽  
Finite Elements ◽  
Optimization Problems ◽  
Limit Load ◽  
Parameters Optimization ◽  
Body Parameters ◽  
Energy Principles ◽  
Yield Conditions ◽  
Extremal Energy ◽  
Theory Of Duality

The general dual mathematical models (static and kinematic formulations) of the limit load and rigidplastic body parameters optimization problems are formed on the basis of extremal energy principles and theory of duality. Yield conditions are controlled not only in volume of finite elements, but also at the surfaces between elements. Therefore the possible discontinuity of displacement velocities and velocity energy dissipation between the elements are evaluated.

Analysis of the effect of an extremal energy transmission through a conducting film with a nano-sized inset

2009 ◽  
Vol 106 (5) ◽  
pp. 753-756 ◽  
Author(s):  
N. V. Grishina ◽  
Yu. A. Eremin ◽  
A. G. Sveshnikov
Keyword(s):  
Energy Transmission ◽  
Conducting Film ◽  
Extremal Energy

scholarly journals Ordering of bicyclic signed digraphs by energy

Filomat ◽  
2020 ◽  
Vol 34 (13) ◽  
pp. 4297-4309
Author(s):  
Xiuwen Yang ◽  
Ligong Wang
Keyword(s):  
Vertex Disjoint ◽  
Signed Digraphs ◽  
Extremal Energy

Let Sn be the class of bicyclic signed digraphs with n vertices whose two signed directed even cycles are vertex-disjoint. In this paper, we characterize the ordering of bicyclic signed digraphs in Sn by energy with two positive or negative directed even cycles (resp., one positive directed even cycle and one negative directed even cycle). Furthermore, we determine extremal energy in Sn by the two orderings.

scholarly journals On the extremal energy of bicyclic digraphs

2015 ◽  
pp. 799-810 ◽  
Author(s):  
Mehtab Khan ◽  
Rashid Farooq ◽  
Azad A. Siddiqui
Keyword(s):  
Extremal Energy

Computing extremal energy of a class of bicyclic weighted digraphs

2019 ◽  
Vol 13 (05) ◽  
pp. 2050090
Author(s):  
Sumaira Hafeez ◽  
Mehtab Khan
Keyword(s):  
Maximal Energy ◽  
Fixed Order ◽  
Vertex Disjoint ◽  
Extremal Energy ◽  
Weighted Digraph

The energy of a weighted digraph [Formula: see text] is the sum of absolute values of real part of its eigenvalues. Recently, the minimal and maximal energy of unicyclic weighted digraphs with cycle weight [Formula: see text] is studied. In this paper, we introduce a class [Formula: see text] of those bicyclic weighted digraphs of fixed order which contain vertex-disjoint weighted cycles of weights [Formula: see text] or [Formula: see text] and [Formula: see text] or [Formula: see text], where [Formula: see text]. We find digraphs in [Formula: see text] under certain conditions on [Formula: see text] and [Formula: see text] with extremal energy.

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