Arindam Biswas

activity

20152026

most citedOn minimal complements in groups

14 citations · 42 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

6 papers · 1 filter

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.CO2019★ 7 cited

On additive co-minimal pairs

Arindam Biswas, Jyoti Prakash Saha

A pair of non-empty subsets $(W, W^{'})$ in an abelian group $G$ is an additive complement pair if $W + W^{'} = G$ . $W^{'}$ is said to be minimal to $W$ if $W+(W'\setminus \{w'\}) \neq G, \foral…

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.CO2019★ 1 cited

Minimal additive complements in finitely generated abelian groups

Arindam Biswas, Jyoti Prakash Saha

Given two non-empty subsets $W, W^{'} \subseteq G$ in an arbitrary abelian group $G$ , $W^{'}$ is said to be an additive complement to $W$ if $W + W^{'} = G$ and it is minimal if no proper subse…

math.NT2019★ 3 cited

Asymptotic complements in the integers

Arindam Biswas, Jyoti Prakash Saha

Let $W \subseteq Z$ be a non-empty subset of the integers. A nonempty set $C \subseteq Z$ is said to be an asymptotic complement to $W$ if $W + C$ contains almost all…