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Advances and Applications in Discrete Mathematics最新文献

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POST-QUANTUM CRYPTOGRAPHY FOR HEALTHCARE: A NUMBER THEORY BASED TWO-FACTOR MUTUAL AUTHENTICATION AND KEY EXCHANGE PROTOCOL OVER LATTICES FOR TMIS 用于医疗保健的后量子密码学：基于数论的双因素相互认证和网格上的 TMIS 密钥交换协议
IF 0.1
Advances and Applications in Discrete Mathematics Pub Date : 2023-12-04 DOI: 10.17654/0974165824001
Sidoine Djimnaibeye, Aminata Ngom, Djiby Sow
{"title":"POST-QUANTUM CRYPTOGRAPHY FOR HEALTHCARE: A NUMBER THEORY BASED TWO-FACTOR MUTUAL AUTHENTICATION AND KEY EXCHANGE PROTOCOL OVER LATTICES FOR TMIS","authors":"Sidoine Djimnaibeye, Aminata Ngom, Djiby Sow","doi":"10.17654/0974165824001","DOIUrl":"https://doi.org/10.17654/0974165824001","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138604273","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}
引用次数: 0
HUB ZAGREB ENERGY OF GRAPHS 萨格勒布能源中心
IF 0.1
Advances and Applications in Discrete Mathematics Pub Date : 2023-11-28 DOI: 10.17654/0974165823068
V. Mathad, Anand
{"title":"HUB ZAGREB ENERGY OF GRAPHS","authors":"V. Mathad, Anand","doi":"10.17654/0974165823068","DOIUrl":"https://doi.org/10.17654/0974165823068","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139225816","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}
引用次数: 0
TOTALLY SEGREGATED POLYNOMIAL OF GRAPHS 图的完全离散多项式
IF 0.1
Advances and Applications in Discrete Mathematics Pub Date : 2023-11-21 DOI: 10.17654/0974165823067
Aziz B. Tapeing, Ladznar S. Laja, Javier Hassan, Hounam B. Copel
{"title":"TOTALLY SEGREGATED POLYNOMIAL OF GRAPHS","authors":"Aziz B. Tapeing, Ladznar S. Laja, Javier Hassan, Hounam B. Copel","doi":"10.17654/0974165823067","DOIUrl":"https://doi.org/10.17654/0974165823067","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139250631","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}
引用次数: 0
THE MOORE-PENROSE INVERSE OF THE RECTANGULAR FIBONACCI MATRIX AND APPLICATIONS TO THE CRYPTOLOGY 矩形斐波那契矩阵的摩尔彭罗斯逆及其在密码学中的应用
Advances and Applications in Discrete Mathematics Pub Date : 2023-11-09 DOI: 10.17654/0974165823066
Süleyman Aydınyüz, Mustafa Aşcı
{"title":"THE MOORE-PENROSE INVERSE OF THE RECTANGULAR FIBONACCI MATRIX AND APPLICATIONS TO THE CRYPTOLOGY","authors":"Süleyman Aydınyüz, Mustafa Aşcı","doi":"10.17654/0974165823066","DOIUrl":"https://doi.org/10.17654/0974165823066","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135242080","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}
引用次数: 0
GEODETIC POLYNOMIALS OF n-SUNLET AND TRIANGULAR SNAKE TS_n GRAPHS n-SUNLET图和三角形蛇形图的大地多项式
Advances and Applications in Discrete Mathematics Pub Date : 2023-11-02 DOI: 10.17654/0974165823064
John Russel D. Evangelista, Hounam B. Copel, Mercedita A. Langamin, Nurijam Hanna M. Mohammad, Sisteta U. Kamdon, Alcyn R. Bakkang
{"title":"GEODETIC POLYNOMIALS OF n-SUNLET AND TRIANGULAR SNAKE TS_n GRAPHS","authors":"John Russel D. Evangelista, Hounam B. Copel, Mercedita A. Langamin, Nurijam Hanna M. Mohammad, Sisteta U. Kamdon, Alcyn R. Bakkang","doi":"10.17654/0974165823064","DOIUrl":"https://doi.org/10.17654/0974165823064","url":null,"abstract":"This paper presents some results on the geodetic polynomials of some graphs, in particular, the geodetic polynomials of $n$-Sunlet and Triangular Snake $TS_n$ graphs. Received: August 18, 2023;Accepted: October 9, 2023","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135934354","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}
引用次数: 0
COMBINATORIAL APPROACH IN COUNTING THE NEIGHBORS OF CLIQUES IN A GRAPH 图中团的邻域计数的组合方法
Advances and Applications in Discrete Mathematics Pub Date : 2023-10-21 DOI: 10.17654/0974165823063
Alcyn R. Bakkang, Regimar A. Rasid, Rosalio G. Artes
{"title":"COMBINATORIAL APPROACH IN COUNTING THE NEIGHBORS OF CLIQUES IN A GRAPH","authors":"Alcyn R. Bakkang, Regimar A. Rasid, Rosalio G. Artes","doi":"10.17654/0974165823063","DOIUrl":"https://doi.org/10.17654/0974165823063","url":null,"abstract":"Let $G$ be a simple connected graph. Then an $i$-subset of $V(G)$ is a subset of $V(G)$ of cardinality $i$. An $i$-clique is an $i$-subset which induces a complete subgraph of $G$. The clique neighborhood polynomial of $G$ is given by $c n(G ; x, y)=sum_{j=0}^{n-i} sum_{i=1}^{omega(G)} c_{i j}(G) x^i y^j$, where $c_{i j}(G)$ is the number of $i$-cliques in $G$ with neighborhood cardinality equal to $j$ and $omega(G)$ is the cardinality of a maximum clique in $G$, called the clique number of $G$. In this paper, we obtain the clique neighborhood polynomials of the special graphs such as the complete graph, complete bipartite graph and complete $q$-partite graph using combinatorial approach. Received: September 14, 2023Accepted: October 9, 2023","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135510795","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}
引用次数: 0
POLYNOMIAL REPRESENTATIONS OF A BALANCED BICLIQUE COMMON NEIGHBORHOOD SYSTEM OF GRAPHS 图的平衡双曲线共邻系统的多项式表示
Advances and Applications in Discrete Mathematics Pub Date : 2023-10-04 DOI: 10.17654/0974165823065
Aldison M. Asdain, Bayah J. Amiruddin, Regimar A. Rasid, Jeffrey Imer C. Salim, Rosalio G. Artes Jr.
{"title":"POLYNOMIAL REPRESENTATIONS OF A BALANCED BICLIQUE COMMON NEIGHBORHOOD SYSTEM OF GRAPHS","authors":"Aldison M. Asdain, Bayah J. Amiruddin, Regimar A. Rasid, Jeffrey Imer C. Salim, Rosalio G. Artes Jr.","doi":"10.17654/0974165823065","DOIUrl":"https://doi.org/10.17654/0974165823065","url":null,"abstract":"A biclique in a graph $G$ is a subset of $V(G)$ which induces a complete bipartite subgraph of $G$. It is said to be balanced if it has equivalent independent vertex partitions. In this paper, we introduce a graph polynomial which represents the number of balanced bicliques of $G$ of all possible orders with corresponding common neighborhood systems and establish some results on some special graphs. Received: September 25, 2023Revised: October 10, 2023Accepted: November 1, 2023","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135647971","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}
引用次数: 0
THE ECCENTRIC HUB NUMBER OF A GRAPH 图的偏心轮毂数
Advances and Applications in Discrete Mathematics Pub Date : 2023-09-15 DOI: 10.17654/0974165823062
Veena Mathad
{"title":"THE ECCENTRIC HUB NUMBER OF A GRAPH","authors":"Veena Mathad","doi":"10.17654/0974165823062","DOIUrl":"https://doi.org/10.17654/0974165823062","url":null,"abstract":"A set $H subseteq V(G)$ is eccentric hub set of a graph $G$ if $H$ is a hub set of $G$ and also every $v in V(G) backslash H$ has an eccentric vertex in $H$. The minimal eccentric hub set with minimum cardinality is called minimum eccentric hub set. Its cardinality is eccentric hub number of $G$, denoted by $e h(G)$. In this paper, we deduce some results and bounds on this parameter. Further, we have studied about total number of minimum eccentric hub sets and eccentric hub graphs. Received: June 14, 2023; Accepted: August 2, 2023","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135435024","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}
引用次数: 0
CONVEX NEIGHBORHOOD POLYNOMIAL OF GRAPHS 图的凸邻域多项式
IF 0.1
Advances and Applications in Discrete Mathematics Pub Date : 2023-08-25 DOI: 10.17654/0974165823061
Sonny C. Abdurasid, Bayah J. Amiruddin, Jeffrey Imer C. Salim, Rosalio G. Artes, Jr.
{"title":"CONVEX NEIGHBORHOOD POLYNOMIAL OF GRAPHS","authors":"Sonny C. Abdurasid, Bayah J. Amiruddin, Jeffrey Imer C. Salim, Rosalio G. Artes, Jr.","doi":"10.17654/0974165823061","DOIUrl":"https://doi.org/10.17654/0974165823061","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43378201","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}
引用次数: 0
k-PRIME TOTAL LABELING OF SHELL RELATED GRAPHS 壳相关图的k素数全标记
IF 0.1
Advances and Applications in Discrete Mathematics Pub Date : 2023-08-09 DOI: 10.17654/0974165823033
S. T. Arockiamary
{"title":"k-PRIME TOTAL LABELING OF SHELL RELATED GRAPHS","authors":"S. T. Arockiamary","doi":"10.17654/0974165823033","DOIUrl":"https://doi.org/10.17654/0974165823033","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45969775","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}
引用次数: 0
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