9 citations · 11 across the 6 of their papers we have counts for
10 papers
Almost Empty Monochromatic Polygons in Planar Point Sets
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +2
For integers , , and , let denote the smallest integer such that any set of at least points in th…
Strong Edge Colouring of Disk Graphs: A 6-Approximation and an Improved Unit-Disk Bound
Sandip Das, Sk Samim Islam, Aashirwad Mohapatra +2
A strong edge colouring of a graph is an edge colouring in which every colour class is an induced matching. The minimum number of colours is the strong chromatic index $χ'_s(G)…
Solving Vertex Integrity Faster than
Sandip Das, Sweta Das, Sk Samim Islam +3
Vertex Integrity is a classical graph parameter measuring the vulnerability of a network to vertex failures. We settle two fundamental questions concerning its exact exponential co…
Large Planar Point Sets Contain 4 Collinear Points or Almost 7-Cliques, and Related Results
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +2
We prove that every sufficiently large finite planar point set contains either four collinear points or seven points with at most one non-visible pair. More generally, we show that…
Almost Empty Monochromatic Triangles With Many Colors
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +2
Given integers and , let denote the least integer such that every set of at least points in the plane, no three on a line…
An Improved Upper Bound for the Turán Number of the Hexagon
Sandip Das, Sk Samim Islam, Aashirwad Mohapatra +1
For a graph , the Turán number is the maximum number of edges in an -vertex graph containing no copy of . Determining the Turán numbers of even cy…
On the Number of Almost Empty Monochromatic Triangles
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +3
In this paper, we consider the problem of counting almost empty monochromatic triangles in colored planar point sets, that is, triangles whose vertices are all assigned the same co…
Constraining the origin of magnetic white dwarfs
Ananya Mohapatra, Eric G. Blackman
The origin of magnetic white dwarfs (MWDs) has been a long-standing puzzle. Proposed origin mechanisms have included: fossil fields frozen in from the progenitor convective core; a…
Equilibrium states of Burgers and KdV equations
Mahendra K. Verma, Soumyadeep Chatterjee, Aryan Sharma +1
We simulate KdV and dissipation-less Burgers equations using delta-correlated random noise as initial condition. We observe that the energy fluxes of the two equations remain zero…
Channel Estimation and Detection in FBMC/OQAM System with Affine Precoding and Decoding
Radhashyam Patra, Arunanshu Mohapatra
We derive the mathematical equations required for channel estimation and data detection of filter bank multi-carrier (FBMC) offset quadrature amplitude modulation (OQAM) systems wi…