This paper is concerned with the general atom-bond sum-connectivity index ABSγ, which a generalization of recently proposed index, where γ any real number. For connected graph G more than two vertices, number ABSγ(G) defined as sum (1−2(dx+dy)−1)γ over all edges xy G, dx and dy represent degrees vertices x y respectively. −10≤γ≤10, significance ABSγ examined on data set twenty-five benzenoid hy...

The steady state response of bond graphs representing passive and active suspension is presented. A bond graph with preferred derivative causality assignment to get the steady state is proposed. A general junction structure of this bond graph is proposed. The proposed methodology to passive and active suspensions is applied.

Feed back control systems are widely used to modify the dynamic behavior of the engineering systems. They require sensors to measure some aspects of the system response, signal processors to realize the control law and the actuators to affect the system. The sensors and actuators are usually very similar to instruments and amplifiers and thus are typically modeled using active bonds, using bond...

In this paper, we describe the circuit polytope on series-parallel graphs. We first show the existence of a compact extended formulation. Though not being explicit, its construction process helps us to inductively provide the description in the original space. As a consequence, using the link between bonds and circuits in planar graphs, we also describe the bond polytope on series-parallel graphs.

This paper describes a unified approach to modeling and simulation of hydraulic systems using bond graphs. Unlike the others, the causalities are not applied in bond graph settings. This leads that mathematical model is generated in the form of differential algebraic equation (DAEs) and solved as such by suitable solver. Bond graph model of simple hydraulic system has developed using program Bo...