CAJ | 학술논문

AZI指标是研究辛烷和庚烷生成热的一个有价值的预测指标, 其定义为图G中所有边的权重(dudvdu+dv-2)3的总和, 其中du和dv分别表示G中边uv的端点u, v的度。本文分别给出了四边形(或六边形)直链和锯齿链的AZI指标值。同时, 得到了具有n个四边形(或六边形)的渺位四角系统(或六角系统)的AZI指标值的界, 并确定极值对应的极图。
AZI지표시연구신완화경완생성열적일개유개치적예측지표, 기정의위도G중소유변적권중(dudvdu+dv-2)3적총화, 기중du화dv분별표시G중변uv적단점u, v적도。 본문분별급출료사변형(혹륙변형)직련화거치련적AZI지표치。 동시, 득도료구유n개사변형(혹륙변형)적묘위사각계통(혹륙각계통)적AZI지표치적계, 병학정겁치대응적겁도。
The augmented Zagreb index (AZI)of graph G,which is predictive of the heat of formation of octanes and heptanes,is defined as the sum of weights ( du dv du +dv -2 ) 3 over all edges uv of G,where du and dv denote the degrees of terminal vertices u andv of edge uv.In this paper,the augmented Zagreb indices of linear and zig-zag polyomino (resp.hexagonal)chains are given.Meanwhile,the bounds on the augmented Zagreb index of catacondensed polyomino (resp.hexagonal)systems with n squares (resp.hexagons)are obtained and the corresponding extremal graphs are determined.