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pro vyhledávání: '"Saha, Jyoti Prakash"'
Autor:
Saha, Jyoti Prakash
Let $\Gamma$ be a Cayley graph, or a Cayley sum graph, or a twisted Cayley graph, or a twisted Cayley sum graph, or a vertex-transitive graph. Suppose $\Gamma$ is undirected and non-bipartite. Let $\mu$ (resp. $\mu_2$) denote the smallest (resp. the
Externí odkaz:
http://arxiv.org/abs/2312.06604
Autor:
Saha, Jyoti Prakash
Let $\Gamma$ be a Cayley graph, or a Cayley sum graph, or a twisted Cayley graph, or a twisted Cayley sum graph, or a vertex-transitive graph. Denote the degree of $\Gamma$ by $d$, its edge Cheeger constant by $\mathfrak{h}_\Gamma$, and its vertex Ch
Externí odkaz:
http://arxiv.org/abs/2306.04436
Autor:
Biswas, Arindam, Saha, Jyoti Prakash
In this article, we study the game of cops and robbers in algebraic graphs. We show that the cop number of the Cayley sum graph of a finite group $G$ with respect to a subset $S$ is at most its degree when the graph is connected, undirected. We also
Externí odkaz:
http://arxiv.org/abs/2303.05381
Publikováno v:
In Journal of Number Theory November 2024 264:295-306
Autor:
Aniruddha, S., Saha, Jyoti Prakash
In this article, we prove that for a convergent sequence of residually absolutely irreducible representations of the absolute Galois group of a number field $F$ with coefficients in a domain finite over a power series ring over a $p$-adic integer rin
Externí odkaz:
http://arxiv.org/abs/2112.13051
Autor:
Biswas, Arindam, Saha, Jyoti Prakash
For any finite, undirected, non-bipartite, vertex-transitive graph, we establish an explicit lower bound for the smallest eigenvalue of its normalised adjacency operator, which depends on the graph only through its degree and its isoperimetric consta
Externí odkaz:
http://arxiv.org/abs/2104.09894
Autor:
Biswas, Arindam, Saha, Jyoti Prakash
The Cayley graphs of finite groups are known to provide several examples of families of expanders, and some of them are Ramanujan graphs. Babai studied isospectral non-isomorphic Cayley graphs of the dihedral groups. Lubotzky, Samuels and Vishne prov
Externí odkaz:
http://arxiv.org/abs/2103.05935
Autor:
Biswas, Arindam, Saha, Jyoti Prakash
Jambor--Liebeck--O'Brien showed that there exist non-proper-power word maps which are not surjective on $\mathrm{PSL}_{2}(\mathbb{F}_{q})$ for infinitely many $q$. This provided the first counterexamples to a conjecture of Shalev which stated that if
Externí odkaz:
http://arxiv.org/abs/2012.01408
Autor:
Biswas, Arindam, Saha, Jyoti Prakash
Let $G$ be a finite group with $|G|\geq 4$ and $S$ be a subset of $G$. Given an automorphism $\sigma$ of $G$, the twisted Cayley graph $C(G, S)^\sigma$ (resp. the twisted Cayley sum graph $C_\Sigma(G, S)^\sigma$) is defined as the graph having $G$ as
Externí odkaz:
http://arxiv.org/abs/2008.04307
Autor:
Biswas, Arindam, Saha, Jyoti Prakash
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 group $G$, the set $W'$ is said to be a complement to $W$ if $W\cdot W'
Externí odkaz:
http://arxiv.org/abs/2007.14389