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  1. No Access

    Chapter and Conference Paper

    Distance-Based Covering Problems for Graphs of Given Cyclomatic Number

    We study a large family of graph covering problems, whose definitions rely on distances, for graphs of bounded cyclomatic number (that is, the minimum number of edges that need to be removed from the graph to ...

    Dibyayan Chakraborty, Florent Foucaud, Anni Hakanen in Fundamentals of Computation Theory (2023)

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    Chapter and Conference Paper

    Finding Geometric Representations of Apex Graphs is NP-Hard

    Planar graphs can be represented as intersection graphs of different types of geometric objects in the plane, e.g., circles (Koebe, 1936), line segments (Chalopin & Gonçalves, SODA 2009), L-shapes (Gonçalves et a...

    Dibyayan Chakraborty, Kshitij Gajjar in WALCOM: Algorithms and Computation (2022)

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    Chapter and Conference Paper

    s-Club Cluster Vertex Deletion on Interval and Well-Partitioned Chordal Graphs

    In this paper, we study the computational complexity of s -Club Cluster Vertex Deletion. Given a graph, s -Club Cluster Vertex Deletion (s -CVD) aims to delete the minimum number of vertices from the graph so th...

    Dibyayan Chakraborty, L. Sunil Chandran in Graph-Theoretic Concepts in Computer Scie… (2022)

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    Chapter and Conference Paper

    Algorithms and Complexity of s-Club Cluster Vertex Deletion

    An s-club is a graph which has diameter at most s. Let G be a graph. A set of vertices \(D\subseteq V(G)\) ...

    Dibyayan Chakraborty, L. Sunil Chandran, Sajith Padinhatteeri in Combinatorial Algorithms (2021)

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    Article

    On the Stab Number of Rectangle Intersection Graphs

    We introduce the notion of stab number and exact stab number of rectangle intersection graphs, otherwise known as graphs of boxicity at most 2. A graph G is said to be a k-stabbable rectangle intersection graph, ...

    Dibyayan Chakraborty, Mathew C. Francis in Theory of Computing Systems (2020)

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    Article

    Bounds on the Bend Number of Split and Cocomparability Graphs

    A path is a simple, piecewise linear curve made up of alternating horizontal and vertical line segments in the plane. A k-bend path is a path made up of at most k + 1 line segments. A Bk-VPG representation of a g...

    Dibyayan Chakraborty, Sandip Das, Joydeep Mukherjee in Theory of Computing Systems (2019)

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    Chapter and Conference Paper

    Dominating Set on Overlap Graphs of Rectangles Intersecting a Line

    A graph \(G = (V, E)\) is called a rectangle overlap graph if there is a bijection between V and a set ...

    Dibyayan Chakraborty, Sandip Das, Joydeep Mukherjee in Computing and Combinatorics (2019)

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    Chapter and Conference Paper

    On Rectangle Intersection Graphs with Stab Number at Most Two

    Rectangle intersection graphs are the intersection graphs of axis-parallel rectangles in the plane. A graph G is said to be a k-stabbable rectangle intersection graph, or k-SRIG for short, if it has a rectangle i...

    Dibyayan Chakraborty, Sandip Das in Algorithms and Discrete Applied Mathematics (2019)

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    Article

    Frame selection for OCR from video stream of book flip**

    Optical Character Recognition (OCR) in video stream of flip** pages is a challenging task because flip** at random speed causes difficulties in identifying the frames that contain the open page image (OPI)...

    Dibyayan Chakraborty, Partha Pratim Roy in Multimedia Tools and Applications (2018)

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    Chapter and Conference Paper

    On Local Structures of Cubicity 2 Graphs

    A 2-stab unit interval graph (2SUIG) is an axes-parallel unit square intersection graph where the unit squares intersect either of the two fixed lines parallel to the X-axis, distance

    Sujoy Bhore, Dibyayan Chakraborty in Combinatorial Optimization and Applications (2016)

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    Chapter and Conference Paper

    On a Special Class of Boxicity 2 Graphs

    We define and study a class of graphs, called 2-stab interval graphs (2SIG), with boxicity 2 which properly contains the class of interval graphs. A 2SIG is an axes-parallel rectangle intersection graph where ...

    Sujoy Kumar Bhore, Dibyayan Chakraborty in Algorithms and Discrete Applied Mathematics (2015)