Arindam Biswas

activity

20182020

most citedOn semilinear sets and asymptotically approximate groups

1 citations · 2 across the 3 of their papers we have counts for

collaborators

6 papers

math.CO2020

Spectrum of twists of Cayley and Cayley sum graphs

Arindam Biswas, Jyoti Prakash Saha

Let $G$ be a finite group with $∣ G ∣ \geq 4$ and $S$ be a subset of $G$ . Given an automorphism $σ$ of $G$ , the twisted Cayley graph $C (G, S)^{σ}$ (resp. the twisted Cayley sum graph $C…

math.CO2020★ 1 cited

Asymptotic behaviour of minimal complements

Arindam Biswas, Jyoti Prakash Saha

The notion of minimal complements was introduced by Nathanson in 2011 as a natural group-theoretic analogue of the metric concept of nets. Given two non-empty subsets $W, W^{'}$ in a g…

math.CO2019

Flexibility and movability in Cayley graphs

Arindam Biswas

Let $Γ = (V, E)$ be a (non-trivial) finite graph with $λ : E \to R_{+}$ , an edge labelling of $Γ$ . Let $ρ : V \to R^{2}$ be a map which…

math.CO2019

A Cheeger type inequality in finite Cayley sum graphs

Arindam Biswas, Jyoti Prakash Saha

Let $G$ be a finite group and $S$ be a symmetric generating set of $G$ with $∣ S ∣ = d$ . We show that if the undirected Cayley sum graph $C_{Σ} (G, S)$ is an expander graph and is non-bi…

math.NT2019★ 1 cited

On semilinear sets and asymptotically approximate groups

Arindam Biswas, Wolfgang Alexander Moens

Let $G$ be any group and $A$ be an arbitrary subset of $G$ (not necessarily symmetric and not necessarily containing the identity). The $h$ -fold product set of $A$ is defined as $$…

math.GR2018

On a cheeger type inequality in Cayley graphs of finite groups

Arindam Biswas

Let $G$ be a finite group. It was remarked by Breuillard-Green-Guralnick-Tao that if the Cayley graph $C (G, S)$ is an expander graph and is non-bipartite then the spectrum of the ad…