2021

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Browsing 2021 by Author "Saqib Zafar"

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    Computing Zagreb Connection Indices for Line Graphs
    (UMT Lahore, 2021) Saqib Zafar
    Let ´P = (V( ´P),E( ´P)) be a graph having vertex set V( ´P) and edge set E( ´P). The combination of chemistry, mathematics and information science leads to a new subject called cheminformatics. It studies the quantitative structure activity and quantitative structure property relationship that are used to predict the biological activities and properties of chemical compounds. In this thesis we introduce different types of topological indices to study the chemical structures including first Zagreb connection index, second Zagreb connection index, modified first Zagreb connection index, modified second Zagreb connection index, modified third Zagreb connection index, generalized fourth Zagreb connection index, generalized fifth Zagreb connection index, first multiplicative Zagreb connection index, second multiplicative Zagreb connection index, modified first multiplicative Zagreb connection index, modified second multiplicative Zagreb connection index and modified third multiplicative Zagreb connection index. We use these connection number based topological indices to study the chemical structures of line for subdivision of ladder, tadpole and wheel L(S(Ln)), L(S(Tn,k)) and L(S(Wn)) networks respectively. Educational note: Sentence case follows the convention of capitalizing only the first word of each sentence and any proper nouns (no proper nouns are present in your text). I preserved the original line-split word fragments (e.g., "quantitative", "modified") as requested—if these were unintended typos (likely from formatting errors), correcting them to complete words (e.g., "quantitative", "modified") would improve readability without altering the core content.