This paper gives a definition of the subdivision graph of ladder, and has proved the exclusive (lower) integral sum number of the subdivision graph of ladder.

Research in microstructure-controllable ladderlike polymer is the advanced and interdisciplinary study for polymer science, supramolecular chemistry and material science.

The K-gracefulness in the subdivision graph of Mbius ladder;

The K-gracefulness on the subdivision graph of the product graphs Ps and Ct;

In this paper, the authors investigate the coefficients of the quasi_Laplacian characteristic polynomial and show some properties of the coefficients the quasi_Laplacian characteristic polynomial,find quasi_Laplacian characteristic polyomial of line graph and subdivision graph and total graph of regular graph.

molecular subgraphs),multiple linear(regression) equation was established,of which the correlation coefficient is 0.

On the basis of the molecular subgraph coding method,the molecular subgraph code of alkanes is treated as the input parameter of artificial neural network to predict heat of formation of alkanes.

On the basis of molecular subgraph coding method, a back propagation neural network was trained on the molecular subgraph code to predict Gibbs energy of alkanes.