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The basis digraphs of p-schemes
[article]

2007
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arXiv
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pre-print

It is proved that association schemes with bipartite basis graphs are exactly 2-schemes. This result follows from a characterization of p-schemes for an arbitrary prime p in terms of basis digraphs.

arXiv:0710.0046v1
fatcat:od3yahsqa5ghngceqhtxuh537e
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On circular-arc graphs with association schemes
[article]

2015
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arXiv
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pre-print

In this paper, we give a characterization of the class of all circular-arc graphs whose schemes are association. Moreover, all association schemes which are the scheme of a circular-arc graph are characterized, specially it is proved that they are Schurian.

arXiv:1501.06315v1
fatcat:qedlf2yek5cnledvhsdqnmsahm
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On Characters of a Class of P-polynomial table algebras and applications
[article]

2019
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arXiv
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pre-print

MASOUMEH KOOHESTANI,

arXiv:1907.04821v1
fatcat:xcycdqjl45awpjdkirpq5s22gq
*AMIR**RAHNAMAI**BARGHI*, AND AMIRHOSSEIN AMIRASLANI ...*RAHNAMAI**BARGHI*, AND AMIRHOSSEIN AMIRASLANI therefore, (ii) Suppose that az −2 − λz −1 + a has a repeated root. ...##
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Non-Isomorphic Graphs with Cospectral Symmetric Powers

2009
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Electronic Journal of Combinatorics
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The symmetric $m$-th power of a graph is the graph whose vertices are $m$-subsets of vertices and in which two $m$-subsets are adjacent if and only if their symmetric difference is an edge of the original graph. It was conjectured that there exists a fixed $m$ such that any two graphs are isomorphic if and only if their $m$-th symmetric powers are cospectral. In this paper we show that given a positive integer $m$ there exist infinitely many pairs of non-isomorphic graphs with cospectral $m$-th

doi:10.37236/209
fatcat:eliorw72hjhxnjnm7a4thdnz5m
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... symmetric powers. Our construction is based on theory of multidimensional extensions of coherent configurations.##
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On the Nomura algebras of formally self-dual association schemes of class 2

2013
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Transactions on Combinatorics
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In this paper, the type-II matrices on (negative) Latin square graphs are considered and it is proved that, under certain conditions, the Nomura algebras of such type-II matrices are trivial. In addition, we construct type-II matrices on doubly regular tournaments and show that the Nomura algebras of such matrices are also trivial.

doaj:2d97d447a55a42d98676998226cd4440
fatcat:2u7c3htxhncmxjvmqh5nfslbgq
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On $p$-schemes with the same degrees of thin radical and thin residue

2015
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Turkish Journal of Mathematics
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On the rank of p-schemes

unpublished

Let n > 1 be an integer and p be a prime number. Denote by C p n the class of non-thin association p-schemes of degree p n. A sharp upper and lower bounds on the rank of schemes in C p n with a certain order of thin radical are obtained. Moreover, all schemes in this class whose rank are equal to the lower bound are characterized and some schemes in this class whose rank are equal to the upper bound are constructed. Finally, it is shown that the scheme with minimum rank in C p n is unique up to

fatcat:rkdn3fwp7bgp7epq5jhpu4kdcq
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... isomorphism, and it is a fusion of any association p-schemes with degree p n .##
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Standard character condition for table algebras

2010
unpublished

It is well known that the complex adjacency algebra A of an association scheme has a specific module, namely the standard module, that contains the regular module of A as a submodule. The character afforded by the standard module is called the standard character. In this paper we first define the concept of standard character for C-algebras and we say that a C-algebra has the standard character condition if it admits the standard character. Among other results we acquire a necessary and

fatcat:axbwv7uhzbe4jbpnyfi47thbiu
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... nt condition for a table algebra to originate from an association scheme. Finally, we prove that given a C-algebra admits the standard character and its all degrees are integers if and only if so its dual.##
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Analyzing Dynamic Football Passing Network

2015

In this thesis we are concerned with the analysis of football matches represented as passing graphs, where players are nodes and directed edges indicate the passing of the ball. As opposed to previous work, we label the edges of the graph with the time instants when the ball is passed between two players, thus constructing a time-varying graph. We then employ techniques from social network analysis to study centrality roles and other indicators, keeping into account the evolution of the game in

doi:10.20381/ruor-6796
fatcat:dodcn5votjbyjgw65bbi4b457m
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... time. More precisely, we focus on degree centrality, closeness, betweenness, pagerank, eigenvector centrality, and clustering coefficient, and we compute these measures dividing the overall play time into time windows following two different models. The results are to be compared with a static analysis performed on a unique time window. Our study provides observations that are different and possibly more accurate than the ones that can be obtained by a static analysis, opening the door to a dynamic study of football matches.##
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Author Index - Index des auteurs

2005
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Canadian mathematical bulletin
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*Rahnamai*

*Barghi*Degree Homogeneous Subgroups 394 Djoković, D.Ž., F. Szechtman, K. ... See Allen Herman B 500 B Baracco, Luca Extension of Holomorphic Functions From One Side of a Hypersurface 41

*Barghi*, A.

*Rahnamai*See John D. Dixon 161 Betancor, Jorge J. ...

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Page 6 of Mathematical Reviews Vol. , Issue 2002A
[page]

2002
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Mathematical Reviews
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R
rtain multiplication Darafsheh, -generations of the

*Rahnamai**Barghi*njugacy classes of a rs on the Ashrafi and G. A. Moghani nway group Co; for p > 5 (209 -215); A ind M. ... Zahedi On positive implicative hyper K-ideals of types 1, 2,3 and 4 (283 291);*Amir*Daneshgar and*Amir*Hashemi, A general n I/O system theory (292-299); B. ...##
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Page 1345 of Mathematical Reviews Vol. , Issue Author Index
[page]

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Mathematical Reviews
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(see 2002a:00020) 20D15 (20E45)
— (with

*Rahnamai*-*Barghi*, A.) On automorphisms of a class of special p-groups. (English summary) Arch. Math. (Basel) 77 (2001), no. 4, 289-293. ... (with*Rahnamai*-*Barghi*, A.) On the conjugacy classes of a p-group. (English summary) Proceedings of the 3\st Iranian Mathematics Conference (Tehran, 2000), 216-219, Univ. Tehran, Tehran, 2000. ...##
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Page 1707 of Mathematical Reviews Vol. , Issue Index
[page]

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Mathematical Reviews
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Rahmatullah

*Rahnamai**Barghi*, A. On commutative quasi-hyperrings. (English summary) /tal. J. Pure Appl. Math. ... (Jesus Rodriguez Lombardero) 2003k:58004 58A32 (S3C05) Rahmati, Farhad (with Hashemi,*Amir*) A note on the Fitting ideals in free resolutions. (English summary) Kyungpook Math. ...