Zobrazeno 1 - 10
of 91
pro vyhledávání: '"T. Asir"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 24802-24824 (2023)
In this series of papers, we study the crosscap two embedding of a class of multipartite graphs, namely, annihilating-ideal graphs of a lattice. In Part 1 of the series [Class of crosscap two graphs arising from lattices-Ⅰ, Mathematics, 11 (2023),
Externí odkaz:
https://doaj.org/article/8ed835227a344b91b0b34046a97f5334
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 19, Iss 3, Pp 316-324 (2022)
AbstractThis article presents a survey of results consisting of the Wiener index of graphs associated with commutative rings. In particular, we focus on zero-divisor graphs, unit graphs, total graphs and prime graphs. Further, we have posed some open
Externí odkaz:
https://doaj.org/article/1f91a8d27265441abbce04be976e5c12
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1553 (2023)
Let L be a lattice. The annihilating-ideal graph of L is a simple graph whose vertex set is the set of all nontrivial ideals of L and whose two distinct vertices I and J are adjacent if and only if I∧J=0. In this paper, crosscap two annihilating-id
Externí odkaz:
https://doaj.org/article/a602eb45e45848be939df39f7b5f520e
Autor:
T. Tamizh Chelvam, T. Asir
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 1, Pp 97-104 (2018)
Let R be a commutative ring. The total graph T Γ ( R ) of R is the undirected graph with vertex set R and two distinct vertices x and y are adjacent if x + y is a zero divisor in R . In this paper, we present a survey of results on the genus of T Γ
Externí odkaz:
https://doaj.org/article/e6e4f3ea93dd431ab352536e66e277fa
Autor:
T. Tamizh Chelvam, T. Asir
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 13, Iss 3, Pp 290-298 (2016)
There are so many ways to construct graphs from algebraic structures. Most popular constructions are Cayley graphs, commuting graphs and non-commuting graphs from finite groups and zero-divisor graphs and total graphs from commutative rings. For a co
Externí odkaz:
https://doaj.org/article/5fd1d776e2f8469b8022289b60cfd8d1
Autor:
T. Asir, V. Rabikka
Publikováno v:
Discrete Applied Mathematics. 319:461-471
The main objective of this article is to study the Wiener index of zero-divisor graph of the ring of integer modulo n . We present a constructed method to calculate the Wiener index of zero-divisor graph of Z n for any positive integer n .
Publikováno v:
Communications in Algebra. 50:5080-5095
Publikováno v:
Algebra Colloquium. 29:221-230
Let [Formula: see text] be a ring with non-zero identity. The unit graph of [Formula: see text], denoted by [Formula: see text], is an undirected graph with all the elements of [Formula: see text] as vertices and where distinct vertices [Formula: see
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Publikováno v:
Expositiones Mathematicae. 39:302-308
For a given finite commutative ring R with 1 ≠ 0 , one may associate a graph which is called the total graph of R and it is denoted by T ( R ) . This graph has R as the vertex set and its two distinct vertices x and y are adjacent exactly whenever