Zobrazeno 1 - 10
of 39
pro vyhledávání: '"B. N. Waphare"'
Publikováno v:
Discrete Applied Mathematics. 283:604-612
In this paper, we introduce the zero-divisor graph of a poset with respect to an automorphism, called the generalized zero-divisor graph of a poset, as an extension of the zero-divisor graph of a poset. It is proved that for such graphs, the chromati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a65a5619b5eb1b60182849413cdfd9f
https://doi.org/10.1016/j.dam.2020.02.015
https://doi.org/10.1016/j.dam.2020.02.015
Autor:
B. N. Waphare, S. A. Tapadia
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 16, Iss 1, Pp 78-82 (2019)
In 1992, Bagga, Beineke, and Varma introduced the concept of the super line graph of index r of a graph G , denoted by ℒ r ( G ) . The vertices of ℒ r ( G ) are the r -subsets of E ( G ) , and two vertices S and T are adjacent if there exist s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aa2bd700529729afd2f30033b0e5fba
https://doaj.org/article/10ace47c494445438466b522e27b5f2f
https://doaj.org/article/10ace47c494445438466b522e27b5f2f
Autor:
B. N. Waphare, Anil Khairnar
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 16, Iss 1, Pp 1-7 (2019)
We consider the ring $\mathbb Z_n$ (integers modulo $n$) with the partial order `$\leq$' given by `$a \leq b$ if either $a=b$ or $a\equiv ab~(mod~n)$'. In this paper, we obtain necessary and sufficient conditions for the poset ($\mathbb Z_n,~\leq$) t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e714ee7e66db68e65adffb4415ef16b5
https://doi.org/10.1016/j.akcej.2018.01.010
https://doi.org/10.1016/j.akcej.2018.01.010
Autor:
B. N. Waphare, N. V. Shinde
Publikováno v:
International Journal of Applied and Computational Mathematics. 6
For a simple, undirected graph G with vertex set V, a subset D of V is called as an identifying code in G if the sets $$N[u]\bigcap D$$ are nonempty and distinct for all u in G, where N[u] is a set of its neighbors along with itself. In this paper, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48cbc110a758f65c061b285950d0f28c
https://doi.org/10.1007/s40819-020-0795-8
https://doi.org/10.1007/s40819-020-0795-8
Publikováno v:
Journal of Parallel and Distributed Computing. 122:188-194
The spanning trees T 1 , T 2 , … , T k of G are edge-disjoint spanning trees (EDSTs) if they are pairwise edge-disjoint. In addition to it if they are pairwise internally vertex disjoint then they are called completely independent spanning trees (C
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04fa95c24fce7f0cf9d507246c2744ed
https://doi.org/10.1016/j.jpdc.2018.08.006
https://doi.org/10.1016/j.jpdc.2018.08.006
Autor:
Avinash Patil, B. N. Waphare
Publikováno v:
Quaestiones Mathematicae. 42:59-71
In this paper, we study the orthogonality graphs (see Definition 1.2) of ortholattices. We provide a graph theoretic condition for an ortholattice to be orthomodular. We prove that, the orthogonality graphs of two orthomodular lattices are isomorphic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c3beca2670104dd9c1ae090a9663d25
https://doi.org/10.2989/16073606.2018.1438532
https://doi.org/10.2989/16073606.2018.1438532
Publikováno v:
Mathematica Slovaca. 68:225-238
In this paper, we continue our study of the zero-divisor graphs of lower dismantlable lattices that was started in [PATIL, A.—WAPHARE, B. N.—JOSHI, V.—POURALI, H. Y.: Zero-divisor graphs of lower dismantlable lattices I, Math. Slovaca 67 (2017)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02a9725abc3ebbaaa19892c6225fd44f
https://doi.org/10.1515/ms-2017-0095
https://doi.org/10.1515/ms-2017-0095
Autor:
Anil Khairnar, B. N. Waphare
Publikováno v:
Algebras and Representation Theory. 22:79-97
The concept of a central strict ideal in a principally quasi-Baer (p.q.-Baer) ∗-ring is introduced. It is proved that the set of all prime central strict ideals in a p.q.-Baer ∗-ring is an anti-chain with respect to set inclusion. We obtain a sep
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c35e4f62aa67b604cb387441a7fdd330
https://doi.org/10.1007/s10468-017-9758-0
https://doi.org/10.1007/s10468-017-9758-0
Autor:
Avinash Patil, B. N. Waphare
Publikováno v:
Discussiones Mathematicae-General Algebra and Applications, Vol 37, Iss 1, Pp 31-43 (2017)
For a ring A with an involution *, the zero-divisor graph of A, Γ*(A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy* = 0. In this paper, we study the zero-divi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e68a9a266729b6aae6a229b9a6ce787
https://doaj.org/article/d4e43c2b64c848f292a10f1bed9a048b
https://doaj.org/article/d4e43c2b64c848f292a10f1bed9a048b
Publikováno v:
Discrete Mathematics. 340:740-745
In this article, we characterize various algebraic and order structures whose zero-divisor graphs are perfect graphs. We strengthen the result of Chenź(2003, Theorem 2.5) by providing a simpler proof of Beck's conjecture for the class of finite redu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39093a349c5e36eb86c34ac8e7d6c5d9
https://doi.org/10.1016/j.disc.2016.11.027
https://doi.org/10.1016/j.disc.2016.11.027