Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Ghodratollah Aalipour"'
Publikováno v:
Linear and Multilinear Algebra. 70:1871-1885
Let R be a finite commutative ring with non-zero identity. Let R × and J ( R ) be the group of unit elements and the Jacobson radical of R, respectively. The unit graph of the ring R, denoted by G ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3293a11e1bbe1121473d2dcf53b06474
https://doi.org/10.1080/03081087.2020.1777250
https://doi.org/10.1080/03081087.2020.1777250
Publikováno v:
Journal of Combinatorial Theory, Series A. 158:362-386
We present a version of the weighted cellular matrix-tree theorem that is suitable for calculating explicit generating functions for spanning trees of highly structured families of simplicial and cell complexes. We apply the result to give weighted g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15b38b423b231fb464200a62b75db9b3
https://doi.org/10.1016/j.jcta.2018.03.009
https://doi.org/10.1016/j.jcta.2018.03.009
Autor:
Leslie Hogben, Franklin H. J. Kenter, Michael Tait, Jephian C.-H. Lin, Aida Abiad, Ghodratollah Aalipour, Zhanar Berikkyzy
Publikováno v:
Electronic Journal of Linear Algebra, 34, 373-380. International Linear Algebra Society
The conjecture of Graham and Lov Ìasz that the (normalized) coefficients of the distance characteristic polynomial of a tree are unimodal is proved; it is also shown that the (normalized) coefficients are log-concave. Upper and lower bounds on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82853045b7f9d9ebc85affb765570389
https://cris.maastrichtuniversity.nl/en/publications/1b06216a-9f04-41a3-a3eb-bfad3822074e
https://cris.maastrichtuniversity.nl/en/publications/1b06216a-9f04-41a3-a3eb-bfad3822074e
Autor:
Leslie Hogben, Michael Tait, Jephian C.-H. Lin, Jessica De Silva, Aida Abiad, Kristin Heysse, Ghodratollah Aalipour, Jay Cummings, Franklin H. J. Kenter, Zhanar Berikkyzy, Wei Gao
Publikováno v:
Linear Algebra and Its Applications, 497, 66-87. Elsevier Science
The distance matrix of a graph $G$ is the matrix containing the pairwise distances between vertices. The distance eigenvalues of $G$ are the eigenvalues of its distance matrix and they form the distance spectrum of $G$. We determine the distance spec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72c61cafe9a3d03cb1af3dc07ad6f2b5
Publikováno v:
University of St Andrews CRIS
Let $G$ be a group. The power graph of $G$ is a graph with the vertex set $G$, having an edge between two elements whenever one is a power of the other. We characterize nilpotent groups whose power graphs have finite independe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86325d9d7b6505c2314b91baa9d8a55a
https://doi.org/10.37236/6497
https://doi.org/10.37236/6497
Autor:
Farzad Shaveisi, Reza Nikandish, Mohammad Javad Nikmehr, Ghodratollah Aalipour, Mahmood Behboodi, Saieed Akbari
Publikováno v:
Algebra Colloquium. 21:249-256
Let R be a commutative ring and 𝔸(R) be the set of ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph 𝔸𝔾(R) with the vertex set 𝔸(R)* = 𝔸(R)\{(0)} and two distinct vertices I and J are adjacent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fea3df8366d67c83eac9a78e118129b
https://doi.org/10.1142/s1005386714000200
https://doi.org/10.1142/s1005386714000200
Autor:
Saieed Akbari, Ghodratollah Aalipour
Publikováno v:
Communications in Algebra. 42:1582-1593
Let R be a commutative ring with unity and R +, U(R), and Z*(R) be the additive group, the set of unit elements, and the set of all nonzero zero-divisors of R, respectively. We denote by ℂ𝔸𝕐(R) and G R , the Cayley graph Cay(R +, Z*(R)) and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c17892c925ac9b555dd47233e06a122e
https://doi.org/10.1080/00927872.2012.745866
https://doi.org/10.1080/00927872.2012.745866
Autor:
Ghodratollah Aalipour, Reza Nikandish, Farzad Shaveisi, Saieed Akbari, Mohammad Javad Nikmehr
Publikováno v:
Rocky Mountain J. Math. 43, no. 5 (2013), 1415-1425
Let R be a commutative ring with identity and A(R) be the set of ideals with non-zero annihilator. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A(R)∗ = A(R)\{0} and two distinct vertices I and J are adjacent i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c764e3ed94dfc2c3d116b66fae17cecb
https://doi.org/10.1216/rmj-2013-43-5-1415
https://doi.org/10.1216/rmj-2013-43-5-1415
Autor:
Saieed Akbari, Ghodratollah Aalipour
Let $R$ be a commutative ring with unity and $R^{+}$ be $Z^*(R)$ be the additive group and the set of all non-zero zero-divisors of $R$, respectively. We denote by $\mathbb{CAY}(R)$ the Cayley graph $Cay(R^+,Z^*(R))$. In this paper, we study $\mathbb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c2299620da0c7084a0deb7c2bf2bc18
http://arxiv.org/abs/1305.0601
http://arxiv.org/abs/1305.0601
Autor:
Mohammad Javad Nikmehr, Farzad Shaveisi, Reza Nikandish, Ghodratollah Aalipour, Saieed Akbari
Publikováno v:
Discrete Mathematics. (17):2620-2626
Suppose that R is a commutative ring with identity. Let A ( R ) be the set of all ideals of R with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph A G ( R ) with the vertex set A ( R ) ∗ = A ( R ) ∖ { ( 0 ) } and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55effcf89fdc16fabdb2e8c719a6d977