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The Edge Version of Atom-bond Connectivity Index<br />

of Nanotori<br />

Muhammad Harith Bin Azhar<br />

Supervisor: Dr. Mohamad Nazri Bin Husin<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Topological indices is one of the newest branches of mathematics. An example of<br />

topological indices is the edge version atom-bond connectivity (ABC e ) index. The purpose<br />

of this research are to obtain a new formula for ABC e index of L(C 4 C 6 C 8 [p , q]) and<br />

L(TC 4 C 8 (S) [p , q] ) nanotori where p and q denoted as column and row. In the first part,<br />

we explain the concept of line graph and the ABC e index. In the second part, we compute<br />

each line graph of nanotori given and compare each nanotori is correlating toward ABC e<br />

index. As a result, the new general formula for ABC e index of L(C 4 C 6 C 8 [p , q]) and<br />

L(TC 4 C 8 (S) [p , q] ) nanotori had obtained. We found that the increase of p and q, the<br />

more sensitive it will correlate toward ABC e index. Hence, we end this thesis by<br />

highlighting some open problem for further investigation.<br />

952 | UMT UNDERGRADUATE RESEARCH DAY 2018

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