{"doi":"10.31185/wjcm.91","title":"On Degree Topology and Set-T_0 space","abstract":"<jats:p>This work is aimed to introduce a new topology on a graph, namely the degree topology.  This topology is defined by the degree of the vertices of the graphs. We find the degree topology for certain types of graphs and determine their types. The degree topology for the complete graph is an indiscrete topology. While The degree topology is generated by a complete bipartite graph  with  is a quasi-discrete topology. In addition, a new property is initiated namely set-  space and discussed the link between it and  space. We verify that every degree topology is a set- space.</jats:p>","journal":"Wasit Journal of Computer and Mathematics Science","year":2022,"id":36837,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":185788,"name":"Hiyam Hassan Kadhem","orcid":null,"position":1,"is_corresponding":false},{"id":185787,"name":"Zainab Naji Hameed","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W4378422247","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.23037605,"influential_citations":0,"citation_trend":[],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"https://wjcm.uowasit.edu.iq/index.php/wjcm/article/download/91/73","host_type":"journal"},{"url":"https://wjcm.uowasit.edu.iq/index.php/wjcm/article/download/91/73","host_type":"GOLD"},{"url":"https://wjcm.uowasit.edu.iq/index.php/wjcm/article/download/91/73","host_type":"publisher"},{"url":"http://dx.doi.org/10.31185/wjcm.91","host_type":"journal"},{"url":"https://doaj.org/article/078fa7b5e0af431193b03c1625e8c4c8","host_type":"repository"}],"fields_of_study":["Advanced Graph Theory Research","Digital Image Processing Techniques","Graph Labeling and Dimension Problems","Mathematics"],"mesh_terms":[],"keywords":["Product topology","Extension topology","Topology (electrical circuits)","General topology","Comparison of topologies","Degree (music)","Initial topology","Mathematics","Bipartite graph","Weak topology (polar topology)","Graph","Topological space","Discrete mathematics","Combinatorics","Physics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-10T17:34:22.759887Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}