{"title":"PC-SOLUTION AND QUASI-SOLUTION OF THE INTERVAL INPUT-OUTPUT BALANCE MODEL","authors":"S. Noskov, A. S. Vergasov","doi":"10.17654/0974165823021","DOIUrl":"https://doi.org/10.17654/0974165823021","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49470640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Amelia L. Arriesgado, Sonny C. Abdurasid, Rosalio G. Artes
{"title":"CONNECTED COMMON NEIGHBORHOOD SYSTEMS OF CLIQUES IN A GRAPH: A POLYNOMIAL REPRESENTATION","authors":"Amelia L. Arriesgado, Sonny C. Abdurasid, Rosalio G. Artes","doi":"10.17654/0974165823019","DOIUrl":"https://doi.org/10.17654/0974165823019","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42821312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"INDUCED CYCLE POLYNOMIAL OF A GRAPH","authors":"I. C. P. O. A. G. R. E. Madalim","doi":"10.17654/0974165823020","DOIUrl":"https://doi.org/10.17654/0974165823020","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41950602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"RESTRAINED CRITICAL AND ABUNDANT SIGNED GRAPHS","authors":"A. J. Mathias, V. Sangeetha, M. Acharya","doi":"10.17654/0974165823018","DOIUrl":"https://doi.org/10.17654/0974165823018","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43955403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"OBSERVER SYNTHESIS FOR 2-D DISCRETE-TIME VARYING DELAY SYSTEMS: F-M MODEL","authors":"C. El-Kasri, M. Alfidi, A. Boua","doi":"10.17654/0974165823017","DOIUrl":"https://doi.org/10.17654/0974165823017","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45662374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EQUITABLE RESOLVING DOMINATING SETS IN GRAPHS","authors":"S. Vaidya, J. B. Kelaiya","doi":"10.17654/0974165823016","DOIUrl":"https://doi.org/10.17654/0974165823016","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43209093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"NEW TOPOLOGIES ON A GRAPH","authors":"M. Alqahtani","doi":"10.17654/0974165823013","DOIUrl":"https://doi.org/10.17654/0974165823013","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42161575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A connected graph G is totally segregated if every pair of adjacent vertices has distinct degrees. In this article, the class of graphs called co-segregated graphs which are complements of totally segregated graphs is discussed. The maximum size of connected totally segregated graph is found by finding minimum size of a large class of co-segregated graphs. We provide an algorithm to find minimum size of co-segregated graph. A construction of co-segregated graph of order n with minimum size is also described.
{"title":"ON CO-SEGREGATED GRAPHS","authors":"T. F. Jorry","doi":"10.17654/0974165823011","DOIUrl":"https://doi.org/10.17654/0974165823011","url":null,"abstract":"A connected graph G is totally segregated if every pair of adjacent vertices has distinct degrees. In this article, the class of graphs called co-segregated graphs which are complements of totally segregated graphs is discussed. The maximum size of connected totally segregated graph is found by finding minimum size of a large class of co-segregated graphs. We provide an algorithm to find minimum size of co-segregated graph. A construction of co-segregated graph of order n with minimum size is also described.","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42223312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rosalio G. Artes, N. H. M. Mohammad, Amy A. Laja, Nur-Hariza M. Hassan
Let G be a simple connected graph. An i-subset of V(G) is a subset of V(G) of cardinality i. An induced i-star of G is a star in G induced by an i-subset of V(G). The star polynomial representation of G is the generating function of the sequence of the number of induced i-stars in G. In this paper, we establish the star polynomials of some special graphs such as the star graph, spider graph, complete bipartite graph, and the complete q-partite graph.
{"title":"FROM GRAPHS TO POLYNOMIAL RINGS: STAR POLYNOMIAL REPRESENTATION OF GRAPHS","authors":"Rosalio G. Artes, N. H. M. Mohammad, Amy A. Laja, Nur-Hariza M. Hassan","doi":"10.17654/0974165823012","DOIUrl":"https://doi.org/10.17654/0974165823012","url":null,"abstract":"Let G be a simple connected graph. An i-subset of V(G) is a subset of V(G) of cardinality i. An induced i-star of G is a star in G induced by an i-subset of V(G). The star polynomial representation of G is the generating function of the sequence of the number of induced i-stars in G. In this paper, we establish the star polynomials of some special graphs such as the star graph, spider graph, complete bipartite graph, and the complete q-partite graph.","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49027152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：