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I t is important to extend and to validate computational ow models to simulate continuous operation of stirred vessels and to capture possible interaction of feed inlet=outlet with the ow… (More)

- Abhijeet Khopkar, Sathish Govindarajan
- ArXiv
- 2011

Delaunay and Gabriel graphs are widely studied geometric proximity structures. Motivated by applications in wireless routing, relaxed versions of these graphs known as Locally Delaunay Graphs (LDGs)… (More)

- Abhijeet Khopkar, Sathish Govindarajan
- ArXiv
- 2013

In this note, we introduce a family of bipartite graphs called path restricted ordered bipartite graphs and present it as an abstract generalization of some well known geometric graphs like unit… (More)

- Abhijeet Khopkar, Sathish Govindarajan
- CCCG
- 2012

Delaunay and Gabriel graphs are widely studied geometric proximity structures. Motivated by applications in wireless routing, relaxed versions of these graphs known as Locally Delaunay Graphs (LDGs)… (More)

- Abhijeet Khopkar
- ArXiv
- 2016

In this paper, we prove that unit distance graphs on convex point sets with n vertices have O(n) edges improving the previous known bound of O(n log n).

- Abhijeet Khopkar
- 2016

In this paper, we focus on a generalized version of Gabriel graphs known as Locally Gabriel graphs (LGGs) and Unit distance graphs (UDGs) on convexly independent point sets. UDGs are sub graphs of… (More)

We consider various hitting and piercing problems for the family of axis-parallel rectangles induced by a point set. Selection Lemmas on induced objects are classical results in discrete geometry… (More)

- Sathish Govindarajan, Abhijeet Khopkar
- Graphs and Combinatorics
- 2015

Let P be a set ofn points in the plane. A geometric graphG onP is said to belocally gabriel if for every edge(u, v) in G, the disc withu andv as diameter does not contain any points of P that are… (More)

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