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Ars Math. Contemp.最新文献

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Enumerating symmetric pyramids in Motzkin paths 在莫兹金路径中枚举对称金字塔
Ars Math. Contemp. Pub Date : 2023-04-03 DOI: 10.26493/1855-3974.3061.5bf
Rigoberto Flórez, J. L. Ramírez
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引用次数: 0
A classification of connected cubic vertex-transitive bi-Cayley graphs over semidihedral group 半面体群上连通三次顶点传递双凯莱图的分类
Ars Math. Contemp. Pub Date : 2023-01-27 DOI: 10.26493/1855-3974.2905.c94
Jianji Cao, Young Soo Kwon, Mimi Zhang
{"title":"A classification of connected cubic vertex-transitive bi-Cayley graphs over semidihedral group","authors":"Jianji Cao, Young Soo Kwon, Mimi Zhang","doi":"10.26493/1855-3974.2905.c94","DOIUrl":"https://doi.org/10.26493/1855-3974.2905.c94","url":null,"abstract":"","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79864754","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
Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime 具有λ素数对称设计的标志传递自同构群的概单群
Ars Math. Contemp. Pub Date : 2023-01-13 DOI: 10.26493/1855-3974.2683.5f3
S. H. Alavi, A. Daneshkhah, Fatemeh Mouseli
{"title":"Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime","authors":"S. H. Alavi, A. Daneshkhah, Fatemeh Mouseli","doi":"10.26493/1855-3974.2683.5f3","DOIUrl":"https://doi.org/10.26493/1855-3974.2683.5f3","url":null,"abstract":"","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80847631","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: 1
Component (edge) connectivity of pancake graphs 煎饼图的分量(边)连通性
Ars Math. Contemp. Pub Date : 2022-11-24 DOI: 10.26493/1855-3974.2913.35e
Xiaohui Hua, Lulu Yang
{"title":"Component (edge) connectivity of pancake graphs","authors":"Xiaohui Hua, Lulu Yang","doi":"10.26493/1855-3974.2913.35e","DOIUrl":"https://doi.org/10.26493/1855-3974.2913.35e","url":null,"abstract":"","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79511597","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
On girth-biregular graphs 在环双正则图上
Ars Math. Contemp. Pub Date : 2022-11-22 DOI: 10.26493/1855-3974.2935.a7b
G. Kiss, Štefko Miklavič, T. Szonyi
{"title":"On girth-biregular graphs","authors":"G. Kiss, Štefko Miklavič, T. Szonyi","doi":"10.26493/1855-3974.2935.a7b","DOIUrl":"https://doi.org/10.26493/1855-3974.2935.a7b","url":null,"abstract":"","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80955514","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
A new family of additive designs 一种新的增材设计系列
Ars Math. Contemp. Pub Date : 2022-10-05 DOI: 10.26493/1855-3974.2707.29c
A. Caggegi
{"title":"A new family of additive designs","authors":"A. Caggegi","doi":"10.26493/1855-3974.2707.29c","DOIUrl":"https://doi.org/10.26493/1855-3974.2707.29c","url":null,"abstract":"In this paper we construct a family of 2 - ( q n , sp 2 , λ ) additive designs D = ( P , B ) , where q is a power of a prime p and P is a n -dimensional vector space over GF( q ) and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75974576","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: 3
On the Aα-spectral radius of connected graphs 关于连通图的a α-谱半径
Ars Math. Contemp. Pub Date : 2022-08-18 DOI: 10.26493/1855-3974.2697.43a
A. Alhevaz, M. Baghipur, H. A. Ganie, K. Das
{"title":"On the Aα-spectral radius of connected graphs","authors":"A. Alhevaz, M. Baghipur, H. A. Ganie, K. Das","doi":"10.26493/1855-3974.2697.43a","DOIUrl":"https://doi.org/10.26493/1855-3974.2697.43a","url":null,"abstract":"For a simple graph G , the generalized adjacency matrix A α ( G ) is defined as A α ( G ) = αD ( G ) + (1 − α ) A ( G ) , α ∈ [0 , 1] , where A ( G ) is the adjacency matrix and D ( G ) is the diagonal matrix of the vertex degrees. It is clear that A 0 ( G ) = A ( G ) and 2 A 12 ( G ) = Q ( G ) implying that the matrix A α ( G ) is a generalization of the adjacency matrix and the signless Laplacian matrix. In this paper, we obtain some new upper and lower bounds for the generalized adjacency spectral radius λ ( A α ( G )) , in terms of vertex degrees, average vertex 2 -degrees, the order, the size, etc. The extremal graphs attaining these bounds are characterized. We will show that our bounds are better than some of the already known bounds for some classes of graphs. We derive a general upper bound for λ ( A α ( G )) , in terms of vertex degrees and positive real numbers b i . As application, we obtain some new upper bounds for λ ( A α ( G )) . Further, we obtain some relations between clique number ω ( G ) , independence number γ ( G ) and the generalized adjacency eigenvalues of a graph G .","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89742492","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: 20
Complete forcing numbers of graphs 图的完全强迫数
Ars Math. Contemp. Pub Date : 2022-07-29 DOI: 10.26493/1855-3974.2706.3c8
Xin He, Heping Zhang
{"title":"Complete forcing numbers of graphs","authors":"Xin He, Heping Zhang","doi":"10.26493/1855-3974.2706.3c8","DOIUrl":"https://doi.org/10.26493/1855-3974.2706.3c8","url":null,"abstract":"The complete forcing number of a graph G with a perfect matching is the minimum cardinality of an edge set of G on which the restriction of each perfect matching M is a forcing set of M . This concept can be view as a strengthening of the concept of global forcing number of G . Do ˇ sli ´ c (2007) obtained that the global forcing number of a connected graph is at most its cyclomatic number. Motivated from this result, we obtain that the complete forcing number of a graph is no more than 2 times its cyclomatic number and characterize the matching covered graphs whose complete forcing numbers attain this upper bound and minus one, respectively. Besides, we present a method of constructing a complete forcing set of a graph. By using such method, we give closed formulas for the complete forcing numbers of wheels and cylinders.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83044979","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: 1
A parametrisation for symmetric designs admitting a flag-transitive, point-primitive automorphism group with a product action 具有积作用的标志传递点原自同构群的对称设计的参数化
Ars Math. Contemp. Pub Date : 2022-06-06 DOI: 10.26493/1855-3974.2507.a1d
Eugenia O'Reilly Regueiro, José Emanuel Rodríguez-Fitta
{"title":"A parametrisation for symmetric designs admitting a flag-transitive, point-primitive automorphism group with a product action","authors":"Eugenia O'Reilly Regueiro, José Emanuel Rodríguez-Fitta","doi":"10.26493/1855-3974.2507.a1d","DOIUrl":"https://doi.org/10.26493/1855-3974.2507.a1d","url":null,"abstract":"We study (v, k, λ)-symmetric designs having a flag-transitive, point-primitive automorphism group, with v = m and (k, λ) = t > 1, and prove that if D is such a design with m even admitting a flag-transitive, point-primitive automorphism group G, then either: (1) D is a design with parameters ( (2t+ s− 1), 2t −(2−s)t s , t−t s2 ) with s ≥ 1 odd, or (2) G does not have a non-trivial product action. We observe that the parameters in (1), when s = 1, correspond to Menon designs. We also prove that if D is a (v, k, λ)-symmetric design with a flag-transitive, pointprimitive automorphism group of product action type with v = m and l ≥ 2 then the complement of D does not admit a flag-transitive automorphism group.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88339828","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
Classification of minimal Frobenius hypermaps 最小Frobenius超映射的分类
Ars Math. Contemp. Pub Date : 2022-05-26 DOI: 10.26493/1855-3974.2415.fd1
Kai Yuan, Yan Wang
{"title":"Classification of minimal Frobenius hypermaps","authors":"Kai Yuan, Yan Wang","doi":"10.26493/1855-3974.2415.fd1","DOIUrl":"https://doi.org/10.26493/1855-3974.2415.fd1","url":null,"abstract":"","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73527887","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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