120 citations
- Indian Institute of Science BangaloreIN7 papers
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25 papers · 1 filter
Ferrers Dimension and Boxicity
Soumyottam Chatterjee, Shamik Ghosh
This note explores the relation between the boxicity of undirected graphs and the Ferrers dimension of digraphs.
Incompressibility and normal minimal surfaces
Tejas Kalelkar
In this paper we describe a procedure for refining the given triangulation of a 3-manifold that scales the PL-metric according to a given weight function while creating no new norm…
Euler characteristic and quadrilaterals of normal surfaces
Tejas Kalelkar
Let be a compact 3-manifold with a triangulation . We give an inequality relating the Euler characteristic of a surface normally embedded in with the number of norma…
Algebraic and Geometric intersection numbers for free groups
Siddhartha Gadgil, Suhas Pandit
We show that the algebraic intersection number of Scott and Swarup for splittings of free groups coincides with the geometric intersection number for the sphere complex of the conn…
N-Qubit W States are Determined by their Bipartite Marginals
Preeti Parashar, Swapan Rana
We prove that the most general W class of N-qubit states are uniquely determined among arbitrary states (pure or mixed) by just their bipartite reduced density matrices. Moreover,…
Survival of contact processes on the hierarchical group
Siva R. Athreya, Jan M. Swart
We consider contact processes on the hierarchical group, where sites infect other sites at a rate depending on their hierarchical distance, and sites become healthy with a constant…