{"id":2745,"date":"2025-11-12T11:42:43","date_gmt":"2025-11-12T11:42:43","guid":{"rendered":"https:\/\/cvsc.upcebu.edu.ph\/?post_type=project&#038;p=2745"},"modified":"2025-11-12T15:27:07","modified_gmt":"2025-11-12T15:27:07","slug":"on-sombor-energy-2","status":"publish","type":"project","link":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/project\/on-sombor-energy-2\/","title":{"rendered":"On Sombor Energy of the Nilpotent Graph of the Ring of Integers Modulo \u03b5"},"content":{"rendered":"\n[et_pb_section fb_built=&#8221;1&#8243; theme_builder_area=&#8221;post_content&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221;][et_pb_row column_structure=&#8221;1_3,2_3&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;1px|||||&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_column type=&#8221;1_3&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_post_title _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][\/et_pb_post_title][et_pb_image src=&#8221;http:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2025\/11\/journalThumbnail_en_US-Albaracin.jpg&#8221; title_text=&#8221;journalThumbnail_en_US-Albaracin&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; hover_enabled=&#8221;0&#8243; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_image][\/et_pb_column][et_pb_column type=&#8221;2_3&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;15px&#8221; text_line_height=&#8221;1.1em&#8221; custom_padding=&#8221;79px|||||&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221; sticky_enabled=&#8221;0&#8243;]<p><strong>Author(s):<span style=\"color: #993300;\"> <a data-test=\"author-name\" data-track=\"click\" data-track-action=\"open author\" data-track-label=\"link\" data-track-index=\"1_1\" data-track-context=\"researcher popup with no profile\" href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-981-96-2336-5_25#auth-Regletto_Aldrich_D_-Imbong\" data-author-popup=\"auth-Regletto_Aldrich_D_-Imbong\" data-corresp-id=\"c1\" style=\"color: #993300;\">Jimboy R. Albaracin, Ph.D.<\/a><\/span><\/strong><\/p>\n<p><span style=\"font-weight: 400;\"><strong>Year Published:<\/strong> August 14, 2025<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"><strong>Abstract\/summary:<\/strong> <span>In chemical graph theory, chemical compounds are represented as graphs where atoms are represented as vertices, and the bonds connecting the atoms are represented as edges. In 2021, Gowtham and Swamy discovered another type of graph energy, called the Sombor energy. This discovery was motivated by Gutman&#8217;s introduction of the Sombor index in the same year. In the field of abstract algebra, rings can also be represented as graphs. In this article, we aim to explore the Sombor energy of some nilpotent graphs of rings, particularly the ring of integers modulo \u03b5.<\/span><\/span><\/p>\n<p><b>Keywords:<\/b><\/p>\n<ul class=\"c-article-subject-list\">\n<li class=\"c-article-subject-list__subject\"><span style=\"color: #3366ff;\"><a href=\"https:\/\/jims-a.org\/index.php\/jimsa\/search?query=sombor%20matrix\" style=\"color: #3366ff;\">Sombor matrix<\/a><\/span><\/li>\n<li><span style=\"color: #3366ff;\"><a href=\"https:\/\/jims-a.org\/index.php\/jimsa\/search?query=characteristic%20polynomial\" style=\"color: #3366ff;\">characteristic polynomial<\/a><\/span><\/li>\n<li><span style=\"color: #3366ff;\"><a href=\"https:\/\/jims-a.org\/index.php\/jimsa\/search?query=energy\" style=\"color: #3366ff;\">energy<\/a><\/span><\/li>\n<li><span style=\"color: #3366ff;\"><a href=\"https:\/\/jims-a.org\/index.php\/jimsa\/search?query=graph\" style=\"color: #3366ff;\">graph<\/a><\/span><\/li>\n<li><span style=\"color: #3366ff;\"><a href=\"https:\/\/jims-a.org\/index.php\/jimsa\/search?query=ring%20of%20integer%20modulo\" style=\"color: #3366ff;\">ring of integer modulo<\/a><\/span><\/li>\n<\/ul>[\/et_pb_text][et_pb_button button_url=&#8221;https:\/\/jims-a.org\/index.php\/jimsa\/article\/view\/1856&#8243; url_new_window=&#8221;on&#8221; button_text=&#8221;Downloadable PDF&#8221; button_alignment=&#8221;right&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_button=&#8221;on&#8221; button_text_size=&#8221;14px&#8221; button_bg_color=&#8221;#00573F&#8221; button_border_radius=&#8221;100px&#8221; button_font=&#8221;Open Sans|700|||||||&#8221; button_use_icon=&#8221;off&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_button][\/et_pb_column][\/et_pb_row][\/et_pb_section]\n","protected":false},"excerpt":{"rendered":"<p>Author(s): Jimboy R. Albaracin, Ph.D. Year Published: August 14, 2025 Abstract\/summary: In chemical graph theory, chemical compounds are represented as graphs where atoms are represented as vertices, and the bonds connecting the atoms are represented as edges. In 2021, Gowtham and Swamy discovered another type of graph energy, called the Sombor energy. This discovery was [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"project_category":[37],"project_tag":[],"class_list":["post-2745","project","type-project","status-publish","hentry","project_category-journals-books-and-reports"],"_links":{"self":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project\/2745","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project"}],"about":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/types\/project"}],"author":[{"embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/users\/7"}],"version-history":[{"count":3,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project\/2745\/revisions"}],"predecessor-version":[{"id":2889,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project\/2745\/revisions\/2889"}],"wp:attachment":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/media?parent=2745"}],"wp:term":[{"taxonomy":"project_category","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project_category?post=2745"},{"taxonomy":"project_tag","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project_tag?post=2745"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}