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RISA new class of Cayley graphs
In this paper, we introduce and study a new class of Cayley graphs.
ON Cycles IN Intersection Graghs OF Rings
-claw-free intersection graphs. Finally, we shall prove that almost all Artin rings R have Hamiltonian intersection graphs. We show that such graphs are indeed pancyclic....
On the generalized cayley graphs of power set rings and hamiltonian cycles
and Z are adjacent if and only if there exists a lower triangular matrix A over R such that, for each iA_i,i\\= 0 and also AY = Z or AZ = Y. In this paper we show that if |X|> 2, for each natural number n, the graph G_n R has a Hamiltonian cycle...
A note on the smallest connected non-traceable cubic bipartite planar graph
A graph is traceable if it contains a Hamiltonian path. We present a connected nontraceable
cubic bipartite planar graph with 52 vertices and prove that there are no
smaller such graphs....
Localisation and ageing in the parabolic Anderson model with Weibull potential
Solving a class of linear and non-linear optimal control problems by homotopy
In this paper, we give an analytical approximate solution for non-linear quadratic optimal control problems
and optimal control of linear systems using the homotopy perturbation method (HPM). Applying
the ...
Analytic-approximate solution for a class of nonlinear optimal control problems by homotopy analysis method
In this paper, we apply the homotopy analysis method (HAM) for nonlinear quadratic
optimal control problems (OCP’s). This method is employed to solve extreme conditions
obtained from the Pontryagin’s maximum ...