Novel M-Polynomials for Computing Graph Invariants of Certain Drugs: Targeting COVID-19 and Omicron

COVID-19 is a life-threatening disease caused by the novel coronavirus (SARS-CoV-2), propagating rapidly over the world. Omicron, a new variant identified in SARS-CoV-2 lineage B.1.1.529, has a whopping 32 mutations in the spike protein alone, which turns out to be a global concern recently. Being computational approaches, graph invariants are a bridging tool among science and technology, particularly in structural chemistry, computer networks, and pharmacopeia. Topological indices (TIs) are numeric quantities that have been frequently employed as graph invariants for symmetries, distances connecting vertices, and degrees of vertices. Mathematical investigations of such TIs may assist in determining their applicability to pharmacological properties. Obtaining the TIs of a network via M-polynomial would be a promising approach. Herein, we define Lakvir indices, a novel class of node degree-based TIs, and explore their derivations via Lakvir M-Polynomials (LM Polynomials) for certain drugs employed in the treatment of COVID-19 and Omicron.