The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph which was introduced in 1972, in the same paper where the first and second Zagreb indices were introduced. In this paper we study the F-index of four operations on graphs which were introduced by Eliasi and Taeri [M. Eliasi, B. Taeri, Four new sums of graphs and their Wiener indices, Discrete Appl. Math.157...

Abstract The n-th order Wiener index of a molecular graph G was put forward by Estrada et al. [New J. Chem. 22 (1998) 819] as ( ) 1 ( , ) n n x W H G x where ( , ) H G x is the Hosoya polynomial. Recently Brückler et al. [Chem. Phys. Lett. 503 (2011) 336] considered a related graph invariant, ( ) 1 1 (1/ !) ( ( , )) / n n n n x W n d x H G x d x . For n=1, both W and W reduce to the ordinary W...

Topological indices are numbers that applied to a graph and can be used describe specific properties through algebraic structures. Algebraic theory is helpful tool in range of chemistry domains. Because it helps explain how the different symmetries molecules crystals affect their structure dynamics, powerful theoretical approach for forecasting both common uncommon characteristics molecules. A ...

For a (molecular) graph, the multiplicative Zagreb indices ∏ 1-index and ∏ 2index are multiplicative versions of the ordinary Zagreb indices (M1-index and M2index). In this note we report several sharp upper bounds for ∏ 1-index in terms of graph parameters including the order, size, radius, Wiener index and eccentric distance sum, and upper bounds for ∏ 2-index in terms of graph parameters inc...

Several different topological indices (the carbon number, the Wiener index, the Balaban dis­ tance sum connectivity index, the Randic molecular identification number, and the Randic molecular connectivity indices °/, 2%, 3̂ p and 3/ c) were employed in the correlation of the velocity of ultrasonic sound in a variety of alkane and alcohol species. Using linear regression analyses and published so...

Fractional pel motion compensation generally improves coding efficiency due to more precise motion accuracy and low path filtering effect in generating image at fractional pel positions. In H.264, quarter pel motion compensation is applied, where image at half pel position is generated by 6 tap Wiener filter. And the adaptive interpolation filter technique, which adaptively changes filter chara...

The relationship between the Randic , Wiener, Hosoya , Balaban, Schultz indices, Harary numbers andDistance matrix to enthalpies of formation (Airf), heat capacity, (Cp) , enthalpies of combustion (AH °c ),enthalpy of vaporization (AH °vap) and normal boiling points (bpK)of C2 C10 normal alkanes isrepresented

Recently, D. Vukičević and J. Sedlar in [1] introduced an order “⪯” on Tn, the set of trees n vertices, such that topological index F a graph is function defined 〈Tn,⪯〉. It provides new approach to determine extremal graphs with respect F. By using method they determined common maximum and/or minimum Tn indices Wiener type anti-Wiener type. Motivated by their researches we further study 〈Tn,⪯〉 ...

Abstract Increased salivary cortisol in cattle may be detrimental to rumen bacterial diversity. Effects of transportation and diet before on plasma conditions 20 ruminal-cannulated heifers (346 ± 16 kg BW) were evaluated. Heifers fed ad libitum 40% Sorghum Sudan grass hay 60% commercial pellet (64% TDN, 12.4% CP, DM basis) for 13 d study initiation. randomly assigned a 2 × factorial arrangement...