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Sinaya: A Philippine Journal for Senior High School Teachers and Students

Theme

Science and Technology

Title in Filipino [Pamagat ng Pananaliksik]

Pagsusuri sa Metric Dimension ng Graph na Kumakatawan sa Isang Four-Ring Polycyclic Aromatic Hydrocarbon: Interstellar 1-cyanopyrene

Research Advisor

Jonel C. Celamor

Abstract

A graph's metric dimension is a parameter that denotes the minimum possible number of vertices in a subset that gives each vertex in the graph a unique representation. Despite extensive research on the metric dimension of polycyclic aromatic hydrocarbons (PAHs), there is currently no focused analysis on the metric basis and metric dimension of 1-cyanopyrene. In chemistry, graphs can be used to depict molecular structures. In this study, graph theory, specifically the concept of metric dimensions, is applied to the molecular structure of 1-cyanopyrene, which was detected in space for the first time in 2024. 1-cyanopyrene is a molecule made of four fused benzene rings with a cyano group (-CN) attached. It is one of the largest polycyclic aromatic hydrocarbons found in space. This study aims to determine the metric basis and its cardinality for the molecular graph of 1-cyanopyrene, which has not yet been established in the literature, using a program developed by the researchers. This study enhances understanding of the molecular behavior, spatial arrangements, atomic connectivity, and interactions of 1-cyanopyrene. This may provide additional information on the behavior and characteristics of other complex organic compounds in interstellar clouds and may also aid future researchers in this field. The outcomes of this study may be useful in fields such as chemistry, pharmaceuticals, and materials science, as well as in other fields where understanding molecular interactions is crucial.

Abstract in Filipino [Abstrak]

Ang metric dimension ng isang graph ay isang parameter na tumutukoy sa pinakamaliit na bilang ng vertices sa isang subset na nagbibigay ng natatanging representasyon sa bawat vertex sa graph. Sa kabila ng malawak na pananaliksik tungkol sa metric dimension ng polycyclic aromatic hydrocarbons (PAHs), wala pang nakatuong pagsusuri sa metric basis at metric dimension ng 1-cyanopyrene. Sa larangan ng chemistry, ginagamit ang mga graph upang ilarawan ang mga molecular structure. Sa pag-aaral na ito, inilapat ang graph theory, partikular ang konsepto ng metric dimension, sa molecular structure ng 1-cyanopyrene, na unang natukoy sa space noong 2024. Ang 1-cyanopyrene ay isang molekula na binubuo ng apat na magkakabit na benzene rings na may nakakabit na cyano group (-CN), at isa ito sa pinakamalalaking polycyclic aromatic hydrocarbons na natagpuan sa space. Layunin ng pag-aaral na ito na tukuyin ang metric basis at ang cardinality nito para sa molecular graph ng 1-cyanopyrene, na hindi pa naitatatag sa umiiral na literatura, gamit ang isang programang binuo ng mga mananaliksik. Pinapalalim ng pag-aaral na ito ang pag-unawa sa molecular behavior, spatial arrangements, atomic connectivity, at interactions ng 1-cyanopyrene. Maaari din itong magbigay ng karagdagang impormasyon hinggil sa behavior at katangian ng iba pang complex organic compounds sa interstellar clouds, at magsilbing sanggunian para sa mga susunod na mananaliksik sa larangang ito. Ang mga kinalabasan ng pag-aaral ay maaaring maging kapaki-pakinabang sa mga larangan tulad ng chemistry, pharmaceuticals, at materials science, gayundin sa iba pang disiplina kung saan mahalaga ang pag-unawa sa molecular interactions.

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