{"title":"ON CORONA PRODUCT OF ZERO-DIVISOR GRAPHS OF DIRECT PRODUCT OF FINITE FIELDS","authors":"Subhash Mallinath Gaded, N. Narayana","doi":"10.17654/0974165823060","DOIUrl":"https://doi.org/10.17654/0974165823060","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44674624","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 graph $G$ is co-segregated if $text{deg}_G(x)=text{deg}_G(y),$ then $xy in E(G)$. The co-segregated polynomial of a graph $G$ of order $n$ is given by $CoS(G,x)=sum_{k=1}^{n}C(k)x^k$, where $C(k)$ is the number of co-segregated subgraphs of $G$ of order $k$. We characterize a co-segregated subgraph of a graph and also of a graph under some binary operations. Using these characterizations, we obtain co-segregated polynomials of such graphs.
{"title":"CO-SEGREGATED POLYNOMIAL OF GRAPHS","authors":"Aziz B. Tapeing, Ladznar S. Laja","doi":"10.17654/0974165823059","DOIUrl":"https://doi.org/10.17654/0974165823059","url":null,"abstract":"A graph $G$ is co-segregated if $text{deg}_G(x)=text{deg}_G(y),$ then $xy in E(G)$. The co-segregated polynomial of a graph $G$ of order $n$ is given by $CoS(G,x)=sum_{k=1}^{n}C(k)x^k$, where $C(k)$ is the number of co-segregated subgraphs of $G$ of order $k$. We characterize a co-segregated subgraph of a graph and also of a graph under some binary operations. Using these characterizations, we obtain co-segregated polynomials of such graphs.","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49613765","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":"RESULTS ON GRUNDY CHROMATIC NUMBER OF JOIN GRAPH OF GRAPHS","authors":"R. S. Maragatham, A. Subramanian","doi":"10.17654/0974165823058","DOIUrl":"https://doi.org/10.17654/0974165823058","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44379053","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}
D. Gibaja-Romero, J. Martínez-Flores, Diana Sánchez-Partida
{"title":"NON-COOPERATIVE BEHAVIOR IN INTERACTION OF DISTRIBUTION CENTERS","authors":"D. Gibaja-Romero, J. Martínez-Flores, Diana Sánchez-Partida","doi":"10.17654/0974165823057","DOIUrl":"https://doi.org/10.17654/0974165823057","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42462863","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}
ArunMarry Ann E. Anore, Jocecar L. Hinampas, Renario G. Hinampas
{"title":"1-MOVABLE DOUBLE OUTER-INDEPENDENT DOMINATION IN GRAPHS","authors":"ArunMarry Ann E. Anore, Jocecar L. Hinampas, Renario G. Hinampas","doi":"10.17654/0974165823056","DOIUrl":"https://doi.org/10.17654/0974165823056","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42311871","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, Jeffrey Imer C. Salim, Rosalio G. Artes, Jr.
{"title":"POLYNOMIAL REPRESENTATION OF THE NEIGHBORHOOD SYSTEMS OF CLIQUES IN THE CORONA OF GRAPHS","authors":"Amelia L. Arriesgado, Jeffrey Imer C. Salim, Rosalio G. Artes, Jr.","doi":"10.17654/0974165823054","DOIUrl":"https://doi.org/10.17654/0974165823054","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41789573","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":"CYCLIC EDGE PARTITION AND REDUCED GRAPH OF A GRAPH","authors":"A. S. Paul, K. K. Gireesan","doi":"10.17654/0974165823053","DOIUrl":"https://doi.org/10.17654/0974165823053","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49402720","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}
In this work, an attempt has been made to represent and simulate fingerprint pattern analysis mathematically using graph isomorphism, graph dominance and graph pebbling. The idea of categorizing fingerprint by locating the ridge characteristics of fingerprint has been attempted to be implemented in this work. An image of fingerprint is used as an input for mathematical modelling and simulation. For the mathematical modelling and simulation of ridge characteristics in a fingerprint, we define two techniques. For first technique, we define Algorithm 1 A for finding the graphical representation of fingerprint and for second technique, we define Algorithm 2 A for determining whether the graphs of any two fingerprint patterns are isomorphic or not. The objective of this study is to identify that the two fingerprints are similar or different with the help of graph isomorphism, domination in graphs and graph pebbling. Our goal is to improve fingerprint identification accuracy in various orientations.
{"title":"MATHEMATICAL MODELLING AND SIMULATION OF FINGERPRINT ANALYSIS USING GRAPH ISOMORPHISM, DOMINATION, AND GRAPH PEBBLING","authors":"Jitendra Binwal, R. Devi, Bhupendra Singh","doi":"10.17654/0974165823052","DOIUrl":"https://doi.org/10.17654/0974165823052","url":null,"abstract":"In this work, an attempt has been made to represent and simulate fingerprint pattern analysis mathematically using graph isomorphism, graph dominance and graph pebbling. The idea of categorizing fingerprint by locating the ridge characteristics of fingerprint has been attempted to be implemented in this work. An image of fingerprint is used as an input for mathematical modelling and simulation. For the mathematical modelling and simulation of ridge characteristics in a fingerprint, we define two techniques. For first technique, we define Algorithm 1 A for finding the graphical representation of fingerprint and for second technique, we define Algorithm 2 A for determining whether the graphs of any two fingerprint patterns are isomorphic or not. The objective of this study is to identify that the two fingerprints are similar or different with the help of graph isomorphism, domination in graphs and graph pebbling. Our goal is to improve fingerprint identification accuracy in various orientations.","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42228417","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":"CO-EVEN HUB NUMBER OF A GRAPH","authors":"V. Mathad, S. Puneeth","doi":"10.17654/0974165823051","DOIUrl":"https://doi.org/10.17654/0974165823051","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.1,"publicationDate":"2023-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43889526","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}
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