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pro vyhledávání: '"Arunkumar, G"'
Let A be a graph type and B an equivalence relation on a group $G$. Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ is an undirected graph whose vertex set is $G$ and two distinct vertic
Externí odkaz:
http://arxiv.org/abs/2408.00390
Autor:
Ganeshbabu, R., Arunkumar, G.
Fix $m \in \mathbb N$. A new generalization of the $H$-join operation of a family of graphs $\{G_1, G_2, \dots, G_k\}$ constrained by indexing maps $I_1,I_2,\dots,I_k$ is introduced as $H_m$-join of graphs, where the maps $I_i:V(G_i)$ to $[m]$. Vario
Externí odkaz:
http://arxiv.org/abs/2402.10557
Stanley's Tree Isomorphism Conjecture posits that the chromatic symmetric function can distinguish non-isomorphic trees. While already established for caterpillars and other subclasses of trees, we prove the conjecture's validity for a new class of t
Externí odkaz:
http://arxiv.org/abs/2307.02234
Topological indices are parameters associated with graphs that have many applications in different areas such as mathematical chemistry. Among various topological indices, the Wiener index is classical \cite{w}. In this paper, we prove a formula for
Externí odkaz:
http://arxiv.org/abs/2303.12491
The zero-divisor graph of a finite commutative ring with unity is the graph whose vertex set is the set of zero-divisors in the ring, with $a$ and $b$ adjacent if $ab=0$. We show that the class of zero-divisor graphs is universal, in the sense that e
Externí odkaz:
http://arxiv.org/abs/2207.11741
Let $G$ be a finite group. A number of graphs with the vertex set $G$ have been studied, including the power graph, enhanced power graph, and commuting graph. These graphs form a hierarchy under the inclusion of edge sets, and it is useful to study t
Externí odkaz:
http://arxiv.org/abs/2112.02395
Autor:
Shankar, P.R., Arunkumar, G.
Publikováno v:
In Journal of Energy Storage 1 June 2024 89
Autor:
Rani, Shushma, Arunkumar, G.
Publikováno v:
In Journal of Combinatorial Theory, Series A May 2024 204
Autor:
Rani, Shushma, Arunkumar, G.
Let $\mathfrak g$ be a Borcherds-Kac-Moody Lie superalgebra (BKM superalgebra in short) with the associated graph $G$. Any such $\mathfrak g$ is constructed from a free Lie superalgebra by introducing three different sets of relations on the generato
Externí odkaz:
http://arxiv.org/abs/2103.12332
A new generalization of Fiedler's lemma is obtained by introducing the concept of the main function of a matrix. As applications, the universal spectra of the H-join, the spectra of the H-generalized join and the spectra of the generalized corona of
Externí odkaz:
http://arxiv.org/abs/2008.12313