TY - JOUR
T1 - Inverse Sum Indeg Index (Energy) with Applications to Anticancer Drugs
AU - Altassan, Alaa
AU - Rather, Bilal Ahmad
AU - Imran, Muhammad
N1 - Funding Information:
This research work was funded by the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia under grant no. (IFPIP: 309-247-1443). The authors gratefully acknowledge the technical and financial support provided by the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia.
Publisher Copyright:
© 2022 by the authors.
PY - 2022/12
Y1 - 2022/12
N2 - For a simple graph with vertex set (Formula presented.) with degree sequence (Formula presented.) of vertex (Formula presented.), the inverse sum indeg matrix ((Formula presented.) -matrix) (Formula presented.) of G is defined by (Formula presented.) if (Formula presented.) is adjacent to (Formula presented.), and zero, otherwise. The multiset of eigenvalues of (Formula presented.) is the (Formula presented.) -spectrum of G and the sum of their absolute values is the (Formula presented.) -energy of (Formula presented.). In this paper, we modify the two results of (Li, Ye and Broersma, 2022), give the correct characterization of the extremal graphs and thereby obtain better bounds than the already known results. Moreover, we also discuss the QSPR analysis and carry the statistical modelling (linear, logarithmic and quadratic) of the physicochemical properties of anticancer drugs with the (Formula presented.) -index (energy).
AB - For a simple graph with vertex set (Formula presented.) with degree sequence (Formula presented.) of vertex (Formula presented.), the inverse sum indeg matrix ((Formula presented.) -matrix) (Formula presented.) of G is defined by (Formula presented.) if (Formula presented.) is adjacent to (Formula presented.), and zero, otherwise. The multiset of eigenvalues of (Formula presented.) is the (Formula presented.) -spectrum of G and the sum of their absolute values is the (Formula presented.) -energy of (Formula presented.). In this paper, we modify the two results of (Li, Ye and Broersma, 2022), give the correct characterization of the extremal graphs and thereby obtain better bounds than the already known results. Moreover, we also discuss the QSPR analysis and carry the statistical modelling (linear, logarithmic and quadratic) of the physicochemical properties of anticancer drugs with the (Formula presented.) -index (energy).
KW - ISI-matrix
KW - adjacency matrix
KW - anticancer drugs
KW - correlation
KW - topological indices
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U2 - 10.3390/math10244749
DO - 10.3390/math10244749
M3 - Article
AN - SCOPUS:85144649030
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 24
M1 - 4749
ER -