in this paper, we determine the degree distance of the complement of arbitrary mycielskian graphs. it is well known that almost all graphs have diameter two. we determine this graphical invariant for the mycielskian of graphs with diameter two.

Network science and graph theory are two important branches of mathematics computer science. Many problems in engineering physics modeled with networks graphs. Topological analysis enable researchers to analyse relation some physical properties without conducting expensive experimental studies. indices numerical descriptors which defined by using degree, distance eigen-value notions any graph. ...

Sierpinski graphs are a widely observed family of fractal-type relevant to topology, Hanoi Tower mathematics, computer engineering, and around. Chemical implementations graph theory establish significant properties, such as chemical activity, physicochemical thermodynamic pharmacological activities molecular graph. Specific descriptors alluded topological indices helpful predict these propertie...

let g and h be two graphs. the corona product g o h is obtained by taking one copy of gand |v(g)| copies of h; and by joining each vertex of the i-th copy of h to the i-th vertex of g,i = 1, 2, …, |v(g)|. in this paper, we compute pi and hyper–wiener indices of the coronaproduct of graphs.

Let $G$ be a connected graph, and let $D[G]$ denote the double graph of $G$. In this paper, we first derive closed-form formulas for different distance based topological indices for $D[G]$ in terms of that of $G$. Finally, as illustration examples, for several special kind of graphs, such as, the complete graph, the path, the cycle, etc., the explicit formulas for some distance based topologica...

Figure 1 . −K band structure evolution with T Si : a) 560 K (DP = 0.34 eV), b) 580 K (DP = 0.27 eV), c) 600 K (DP = 0.23 eV), d) 625 K (DP = 0.14 eV), and e) 630 K (DP = 0.12 eV). Upper panels show the ARPES intensity maps and lower panels show the corresponding MDC, measured at an interval of 10 meV. Red, purple, and green curves mark E F , VBM, and conduction band minimum (CBM), respectively....

A comparative study of 36 molecular descriptors derived from the topological distance matrix and van der Waals space is carried out within this paper. They are partitioned into 16 generalized topological distance matrix indices, 11 topological distance indices known in the literature (seven obtained from eigenvalues/eigenvectors of distance matrix), and 9 van der Waals molecular descriptors. Th...

Structural codes vis-a-vis structural counts, like polynomials of a molecular graph, are important in computing graph-theoretical descriptors which are commonly known as topological indices. These indices are most important for characterizing carbon nanotubes (CNTs). In this paper we have computed Sadhana index (Sd) for phenylenes and their hexagonal squeezes using structural codes (counts). Sa...