[et_pb_section fb_built=”1″ theme_builder_area=”post_content” _builder_version=”4.27.4″ _module_preset=”default”][et_pb_row column_structure=”1_3,2_3″ _builder_version=”4.27.4″ _module_preset=”default” custom_padding=”40px|||||” global_colors_info=”{}” theme_builder_area=”post_content”][et_pb_column type=”1_3″ _builder_version=”4.27.4″ _module_preset=”default” global_colors_info=”{}” theme_builder_area=”post_content”][et_pb_heading title=”Certain Indexes of Unit Graph in Integer Modulo Rings with Specific Orders” _builder_version=”4.27.4″ _module_preset=”default” title_font=”|700|on||||||” title_text_color=”gcid-body-color” title_font_size=”41px” custom_margin=”|-828px|25px|||” hover_enabled=”0″ global_colors_info=”{%22gcid-body-color%22:%91%22title_text_color%22%93}” theme_builder_area=”post_content” sticky_enabled=”0″][\/et_pb_heading][et_pb_image src=”http:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2025\/12\/Albaracin-Barekeng.jpg” title_text=”Albaracin-Barekeng” _builder_version=”4.27.4″ _module_preset=”default” hover_enabled=”0″ box_shadow_style=”preset2″ global_colors_info=”{}” theme_builder_area=”post_content” sticky_enabled=”0″][\/et_pb_image][\/et_pb_column][et_pb_column type=”2_3″ _builder_version=”4.27.4″ _module_preset=”default” global_colors_info=”{}” theme_builder_area=”post_content”][et_pb_text _builder_version=”4.27.4″ _module_preset=”default” text_font_size=”15px” text_line_height=”1.1em” custom_padding=”118px|||||” hover_enabled=”0″ global_colors_info=”{}” theme_builder_area=”post_content” sticky_enabled=”0″]<\/p>\n
Lead Researcher(s): <\/strong>Sahin Two Lestari, Jimboy R. Albaracin, I Gede Adhitya Wisnu Wardhana Abstract\/summary:<\/strong> Topological indices quantify structural properties of graphs and find wide applications in chemistry, physics, and network analysis. This study investigates several key indices\u2014namely the Harary Index, Wiener Index, Randi\u0107 Index, Schultz Index, and the Zagreb Indices\u2014within the context of unit graphs derived from the ring of integers modulo. General formulas for these indices are established, demonstrating how they reflect the combinatorial and algebraic characteristics of unit graphs. Each index captures distinct structural aspects: the Wiener Index evaluates global connectivity and correlates with molecular stability and boiling points; the Randi\u0107 Index highlights molecular branching relevant to enzyme activity; the Harary Index models electronic interactions through distance reciprocals; and the Zagreb Indices and Schultz Index provide insights into bonding properties and molecular interactions. By linking these indices to unit graphs, this work reinforces the synergy between graph theory and algebra, offering a systematic framework to interpret algebraic structures through graph-based invariants. The results not only contribute to theoretical understanding but also suggest potential applications in modeling chemical compounds and complex networks, paving the way for further exploration of topological indices in other algebraically defined graphs.<\/span><\/span><\/p>\n Keywords:<\/b><\/p>\n
Status:<\/strong> Published<\/p>\n