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AKCE International Journal of Graphs and Combinatorics最新文献

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Monophonic pebbling number and t-pebbling number of some graphs 若干图的单音卵石数和t-卵石数
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-05-10 DOI: 10.1080/09728600.2022.2072789
A. Lourdusamy, I. Dhivviyanandam, S. K. Iammal
{"title":"Monophonic pebbling number and t-pebbling number of some graphs","authors":"A. Lourdusamy, I. Dhivviyanandam, S. K. Iammal","doi":"10.1080/09728600.2022.2072789","DOIUrl":"https://doi.org/10.1080/09728600.2022.2072789","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"28 1","pages":"108-111"},"PeriodicalIF":1.0,"publicationDate":"2022-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77656160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Structural matrices for Signed Petri net 带符号Petri网的结构矩阵
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-05-10 DOI: 10.1080/09728600.2022.2070718
Payal, Sangita Kansal
{"title":"Structural matrices for Signed Petri net","authors":"Payal, Sangita Kansal","doi":"10.1080/09728600.2022.2070718","DOIUrl":"https://doi.org/10.1080/09728600.2022.2070718","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"455 1","pages":"102-107"},"PeriodicalIF":1.0,"publicationDate":"2022-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81635050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Squared distance matrices of trees with matrix weights 具有矩阵权重的树的距离矩阵的平方
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-05-03 DOI: 10.1080/09728600.2023.2236172
Iswar Mahato, M. Kannan
{"title":"Squared distance matrices of trees with matrix weights","authors":"Iswar Mahato, M. Kannan","doi":"10.1080/09728600.2023.2236172","DOIUrl":"https://doi.org/10.1080/09728600.2023.2236172","url":null,"abstract":"Let $T$ be a tree on $n$ vertices whose edge weights are positive definite matrices of order $s$. The squared distance matrix of $T$, denoted by $Delta$, is the $ns times ns$ block matrix with $Delta_{ij}=d(i,j)^2$, where $d(i,j)$ is the sum of the weights of the edges in the unique $(i,j)$-path. In this article, we obtain a formula for the determinant of $Delta$ and find ${Delta}^{-1}$ under some conditions.","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41435183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Bounds on the connected local dimension of graphs in terms of the marked dimension and the clique number 用标记维数和团数表示图的连通局部维数的界
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-05-03 DOI: 10.1080/09728600.2022.2066490
Supachoke Isariyapalakul, Witsarut Pho-on, V. Khemmani
{"title":"Bounds on the connected local dimension of graphs in terms of the marked dimension and the clique number","authors":"Supachoke Isariyapalakul, Witsarut Pho-on, V. Khemmani","doi":"10.1080/09728600.2022.2066490","DOIUrl":"https://doi.org/10.1080/09728600.2022.2066490","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"55 1","pages":"95-101"},"PeriodicalIF":1.0,"publicationDate":"2022-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84818962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On graphs with distance Laplacian eigenvalues of multiplicity n−4 关于多重数为n−4的距离拉普拉斯特征值图
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-02-17 DOI: 10.1080/09728600.2023.2219335
Saleem Khan, S. Pirzada
{"title":"On graphs with distance Laplacian eigenvalues of multiplicity n−4","authors":"Saleem Khan, S. Pirzada","doi":"10.1080/09728600.2023.2219335","DOIUrl":"https://doi.org/10.1080/09728600.2023.2219335","url":null,"abstract":"Let $G$ be a connected simple graph with $n$ vertices. The distance Laplacian matrix $D^{L}(G)$ is defined as $D^L(G)=Diag(Tr)-D(G)$, where $Diag(Tr)$ is the diagonal matrix of vertex transmissions and $D(G)$ is the distance matrix of $G$. The eigenvalues of $D^{L}(G)$ are the distance Laplacian eigenvalues of $G$ and are denoted by $partial_{1}^{L}(G)geq partial_{2}^{L}(G)geq dots geq partial_{n}^{L}(G)$. The largest eigenvalue $partial_{1}^{L}(G)$ is called the distance Laplacian spectral radius. Lu et al. (2017), Fernandes et al. (2018) and Ma et al. (2018) completely characterized the graphs having some distance Laplacian eigenvalue of multiplicity $n-3$. In this paper, we characterize the graphs having distance Laplacian spectral radius of multiplicity $n-4$ together with one of the distance Laplacian eigenvalue as $n$ of multiplicity either 3 or 2. Further, we completely determine the graphs for which the distance Laplacian eigenvalue $n$ is of multiplicity $n-4$.","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47903747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the cozero-divisor graphs associated to rings 在与环相关的余零因子图上
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-02-01 DOI: 10.1080/09728600.2022.2111241
Praveen Mathil, Barkha Baloda, J. Kumar
{"title":"On the cozero-divisor graphs associated to rings","authors":"Praveen Mathil, Barkha Baloda, J. Kumar","doi":"10.1080/09728600.2022.2111241","DOIUrl":"https://doi.org/10.1080/09728600.2022.2111241","url":null,"abstract":"Let $R$ be a ring with unity. The cozero-divisor graph of a ring $R$, denoted by $Gamma'(R)$, is an undirected simple graph whose vertices are the set of all non-zero and non-unit elements of $R$, and two distinct vertices $x$ and $y$ are adjacent if and only if $x notin Ry$ and $y notin Rx$. In this paper, first we study the Laplacian spectrum of $Gamma'(mathbb{Z}_n)$. We show that the graph $Gamma'(mathbb{Z}_{pq})$ is Laplacian integral. Further, we obtain the Laplacian spectrum of $Gamma'(mathbb{Z}_n)$ for $n = p^{n_1}q^{n_2}$, where $n_1, n_2 in mathbb{N}$ and $p, q$ are distinct primes. In order to study the Laplacian spectral radius and algebraic connectivity of $Gamma'(mathbb{Z}_n)$, we characterized the values of $n$ for which the Laplacian spectral radius is equal to the order of $Gamma'(mathbb{Z}_n)$. Moreover, the values of $n$ for which the algebraic connectivity and vertex connectivity of $Gamma'(mathbb{Z}_n)$ coincide are also described. At the final part of this paper, we obtain the Wiener index of $Gamma'(mathbb{Z}_n)$ for arbitrary $n$.","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"1 1","pages":"238-248"},"PeriodicalIF":1.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74857659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A short note on the left A-Γ-hyperideals in ordered Γ-semihypergroups 在订购的Γ-semihypergroups中，左边有一个简短的注释A-Γ-hyperideals
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-01-02 DOI: 10.1080/09728600.2022.2057826
Yongsheng Rao, S. Kosari, Hao Guan, Maryam Akhoundi, S. Omidi
{"title":"A short note on the left A-Γ-hyperideals in ordered Γ-semihypergroups","authors":"Yongsheng Rao, S. Kosari, Hao Guan, Maryam Akhoundi, S. Omidi","doi":"10.1080/09728600.2022.2057826","DOIUrl":"https://doi.org/10.1080/09728600.2022.2057826","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"89 1","pages":"49-53"},"PeriodicalIF":1.0,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83546040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Unitary Cayley graphs whose Roman domination numbers are at most four 罗马统治数最多为4的酉凯利图
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-01-02 DOI: 10.1080/09728600.2022.2041365
A. Chin, H. Maimani, M. R. Pournaki, M. Sivagami, T. T. Chelvam
{"title":"Unitary Cayley graphs whose Roman domination numbers are at most four","authors":"A. Chin, H. Maimani, M. R. Pournaki, M. Sivagami, T. T. Chelvam","doi":"10.1080/09728600.2022.2041365","DOIUrl":"https://doi.org/10.1080/09728600.2022.2041365","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"35 1","pages":"36-40"},"PeriodicalIF":1.0,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84562333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings 交换环零因子图新扩展的平面性、属和交叉点
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-01-02 DOI: 10.1080/09728600.2022.2058437
N. Rehman, M. Nazim, K. Selvakumar
{"title":"On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings","authors":"N. Rehman, M. Nazim, K. Selvakumar","doi":"10.1080/09728600.2022.2058437","DOIUrl":"https://doi.org/10.1080/09728600.2022.2058437","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"10 8 1","pages":"61-68"},"PeriodicalIF":1.0,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86158058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A property of most of the known non-reconstructible digraphs 大多数已知的不可重构有向图的一个性质
IF 1 4区 数学
AKCE International Journal of Graphs and Combinatorics Pub Date : 2022-01-02 DOI: 10.1080/09728600.2022.2057259
S. Ramachandran
{"title":"A property of most of the known non-reconstructible digraphs","authors":"S. Ramachandran","doi":"10.1080/09728600.2022.2057259","DOIUrl":"https://doi.org/10.1080/09728600.2022.2057259","url":null,"abstract":"","PeriodicalId":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"31 1","pages":"41-48"},"PeriodicalIF":1.0,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73079815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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