K. NajiyaV

activity

20222024

A_{α}

-spectrum and

A_{α}

-energy of unitary addition Cayley graphs

1 citations · 1 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.CO2024

Constructions of $A_{α}$ -cospectral graphs using some corona operations

Najiya V K, Chithra A

Let $G_{1} ⊛ G_{2}$ ,$ G_1 \sqcupdot G_2 $ and $ G_1 \sqcupplus G_2$ denote the total corona, $Q$ -vertex corona and $Q$ -edge corona of two graphs $G_{1}$ and $G_{2}$ , respecti…

math.CO2024

$A_{α}$ -energy of graphs formed by some unary operations

Najiya V K, Chithra A

Let $G$ be a graph on $p$ vertices with adjacency matrix $A (G)$ and degree matrix $D (G)$ . For each $α \in [0, 1]$ , the $A_{α}$ -matrix is defined as $A_{α} (G) = α D (G) + (1 - α) A (G)$ . In…

math.CO2023★ 1 cited

A study on $A_{α}$ -spectrum and $A_{α}$ -energy of unitary addition Cayley graphs

Najiya V K, Chithra A, Naveen Palanivel

The unitary addition Cayley graph $G_{n}$ , $n \in Z^{+}$ is the graph whose vertex set is $Z_{n}$ , the ring of integers modulo $n$ and two vertices $u$ and $v$ are adjacent if and only if…

math.CO2023

A study on $k$ -coalescence of two graphs

Najiya V K, Chithra A

The $k$ -coalescence of two graphs is obtained by merging a $k$ -clique of each graph. The $A_{α}$ -matrix of a graph is the convex combination of its degree matrix and adjacency matrix…

math.CO2022

Construction of non-regular $A_{α}$ -cospectral graphs from some join of graphs

Najiya V K, Chithra A

Cospectral graphs are a fascinating concept in graph theory, where two non-isomorphic graphs possess identical sets of eigenvalues. In this paper, we compute the $A_{α}$ -characterist…

Constructions of Aα​-cospectral graphs using some corona operations

Aα​-energy of graphs formed by some unary operations

A study on Aα​-spectrum and Aα​-energy of unitary addition Cayley graphs

A study on k-coalescence of two graphs

Construction of non-regular Aα​-cospectral graphs from some join of graphs

Constructions of $A_{α}$ -cospectral graphs using some corona operations

$A_{α}$ -energy of graphs formed by some unary operations

A study on $A_{α}$ -spectrum and $A_{α}$ -energy of unitary addition Cayley graphs

A study on $k$ -coalescence of two graphs

Construction of non-regular $A_{α}$ -cospectral graphs from some join of graphs