Akash Kalita

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20242026

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4 papers · 1 filter

math.CO2026

Laplacian Pair State Transfer on Edge Coronas

Akash Kalita, Bikash Bhattacharjya

Let $G$ be a graph with edge set $E (G) = {e_{1}, \dots, e_{m}}$ , and let $H = (H_{1}, \dots, H_{m})$ be an $m$ -tuple of graphs. The edge corona $G ⋄ H$ is obta…

math.CO2026

Laplacian Pair State Transfer on Total Graphs

Akash Kalita, Bikash Bhattacharjya

The total graph of a graph $G$ , denoted $T (G)$ , is defined as the graph whose vertex set is the union of the vertex set of $G$ and the edge set of $G$ , such that two vert…

math.CO2025

State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs

Akash Kalita, Bikash Bhattacharjya

The unitary Cayley graph, denoted $X_{n}$ , is the graph with vertex set $Z_{n}$ such that two distinct vertices $a$ and $b$ are adjacent if $a - b = u$ for some $u$ with $1 \leq…

math.CO2025

Pretty good fractional revival on abelian Cayley graphs

Akash Kalita, Bikash Bhattacharjya

Let $Γ$ be a graph with the adjacency matrix $A$ . The transition matrix of $Γ$ , denoted $H (t)$ , is defined as $H (t) := exp (- i t A)$ , where $i := - 1$ and $t$ …