We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm, is analysed on random n-vertex cubic graphs using differential equations. In this way, we prove that the expected size of the connected dominating set returned by the algorithm is asymptotically almost surely less tha...

One can hardly believe that there is still something to be said about cubic equations. To dodge this doubt, we will instead try and say Sylvester. He doubtless found a way solve As mentioned by Rota, it was the only method in vein he could remember. We realize Sylvester's magnificent approach for reduced equations boils down an easy identity.

In this paper, we will study a partial sum modulus distribution for specific natural number set using dynamically sliding window. Then construct cubic equation from and formula to calculate zero. go through some applications of Cubic the basic algebraic concepts explain numbers.
 
 First part in interduce sums numbers dynamic window as parameter explore distribution. As simpler way st...

Spectral stability of multihump vector solitons in the Hamiltonian system of coupled nonlinear Schrödinger (NLS) equations is investigated both analytically and numerically. Using the closure theorem for the negative index of the linearized Hamiltonian, we classify all possible bifurcations of unstable eigenvalues in the systems of coupled NLS equations with cubic and saturable nonlinearities. ...

In this paper, we define the multicubic-quartic and multimixed cubic-quartic mappings characterize them. other words, unify system of functional equations defining a (resp., multicubic-quartic) mapping to single equation, namely, equation. We also show that under what conditions can be multicubic, multiquartic multicubic-quartic. Moreover, by using fixed point theorem, study generalized Hyers-U...