Welcome to the homepage of

    Dr.T.Karthick

    Indian Statistical Institute, Chennai Centre,
    110, Nelson Manickam Road, Aminjikarai,
    Chennai-600029, INDIA.



    Specialization:   Graph Theory, Graph Algorithms and Combinatorics.

    Research Interests:    Graph classes. Graph colorings and variations. Structure and algorithmic aspects in graphs.

    Links:   DBLP,   arXiv

       List of Publications:
  • S.A.Choudum, T.Karthick and Manoj M.Belavadi, Structural domination and coloring of some (P7,C7)-free graphs. arXiv:1907.05018 [math.CO].

  • S.Huang and T.Karthick, On graphs with no induced five-vertex path or paraglider. arXiv:1903.11268 [math.CO].

  • M.Chudnovsky, T.Karthick, P.Maceli and F.Maffray, Coloring graphs with no induced five-vertex path or gem. arXiv:1810.06186 [math.CO].

  • T.Karthick and F.Maffray, Square-free graphs with no six-vertex induced path. In: 10th ICGT 2018. SIAM Journal on Discrete Mathematics, 33:2 (2019) 874–909.

  • T.Karthick, F.Maffray and L.Pastor, Polynomial cases for the vertex coloring problem, Algorithmica, 81 (2019) 1053–1074.

  • T.Karthick and F.Maffray, Coloring (gem, co-gem)-free graphs. Journal of Graph Theory, 89 (2018) 288–303.

  • T.Karthick and Suchismita Mishra, Chromatic bounds for some classes of 2K2-free graphs, Discrete Mathematics, 341 (2018) 3079–3088.

  • T.Karthick and Suchismita Mishra, On the chromatic number of (P6, diamond)-free graphs, Graphs and Combinatorics, 34 (2018) 677–692.

  • T.Karthick, Star Coloring of certain graph classes, Graphs and Combinatorics, 34 (2018) 109–128.

  • A.Brandstädt, E.M.Eschen, E.Friese and T.Karthick, Efficient domination for classes of P6-free graphs, Discrete Applied Mathematics, 223 (2017) 15–27.

  • T.Karthick and F.Maffray, Maximum weight independent sets in classes related to claw-free graphs, Discrete Applied Mathematics, 216 (2017) 232–239.

  • T.Karthick, Independent sets in some classes of Si,j,k-free graphs, Journal of Combinatorial Optimization, 34 (2017) 612–630.

  • T.Karthick, Structure of squares and efficient domination in graph classes, Theoretical Computer Science, 652 (2016) 38–46.

  • T.Karthick and F.Maffray, Maximum weight independent sets in (S1,1,3,bull)-free graphs, In:COCOON 2016, Lecture Notes in Computer Science, 9797 (2016) 390–392.

  • T.Karthick, Star chromatic bounds, In:ICGTA 2015, Electronic Notes in Discrete Mathematics, 53 (2016) 413–419.

  • T.Karthick and F.Maffray, Vizing Bound for the chromatic number on some graph classes, Graphs and Combinatorics, 32 (2016) 1447–1460.

  • T.Karthick, Independent sets in classes related to chair-free graphs, In:CALDAM 2016, Lecture Notes in Computer Science, 9602 (2016) 224–232.

  • T.Karthick and F.Maffray, Weighted independent sets in classes of P6-free graphs, In: 9th ICGT 2014. Discrete Applied Mathematics, 209 (2016) 217–226.

  • A.Brandstädt and T.Karthick, Weighted efficient domination in two subclasses of P6-free graphs, Discrete Applied Mathematics, 201 (2016) 38–46.

  • T.Karthick, Weighted independent sets in a subclass of P6-free graphs, Discrete Mathematics, 339 (2016) 1412–1418.

  • T.Karthick, New polynomial case for efficient domination in P6-free graphs, In:CALDAM 2015, Lecture Notes in Computer Science, 8909 (2015) 81–88.

  • T.Karthick, Note on equitable coloring of graphs, Australasian Journal of Combinatorics, 59 (2014) 251–259.

  • T.Karthick, On atomic structure of P5-free subclasses and maximum weight independent set problem, Theoretical Computer Science, 516 (2014) 78–90.

  • T.Karthick and C.R.Subramanian, Star coloring of subcubic graphs, Discussiones Mathematicae Graph Theory, 33 (2013) 373–390.

  • M.Basavaraju, L.S.Chandran and T.Karthick, Maximum weight independent sets in hole- and dart-free graphs, Discrete Applied Mathematics, 160 (2012) 2364–2369.

  • T.Karthick and F.Maffray, A characterization of claw-free b-perfect graphs, Discrete Mathematics, 312 (2012) 324–330.

  • N.R.Aravind, T.Karthick and C.R.Subramanian, Bounding χ in terms of ω and Δ for some classes of graphs, Discrete Mathematics, 311 (2011) 911–920.

  • S.A.Choudum and T.Karthick, Maximal cliques in {P2∪P3, C4}-free graphs, Discrete Mathematics, 310 (2010) 3398–3403.

  • S.A.Choudum and T.Karthick, First-fit coloring of {P5, K4-e}-free graphs, Discrete Applied Mathematics, 158 (2010) 620–626.

  • S.A.Choudum, T.Karthick and M.A.Shalu, Linear chromatic bounds for a subfamily of 3K1-free graphs, Graphs and Combinatorics, 24 (2008) 413–428.

  • S.A.Choudum, T.Karthick and M.A.Shalu, Perfect coloring and linearly χ-bound P6-free graphs, Journal of Graph Theory, 54 (2007) 293–306.

       Edited Volumes:
  • A.M.Hinz, S.Arumugam, R.Balakrishnan, S.Francis Raj, T.Karthick, K.Somasundaram, X.Zhu, Special Issue of International Conference on Graph Theory and its Applications (ICGTA 2015). Electronic Notes in Discrete Mathematics (Elsevier), Volume 53 (2016).

       Manuscripts:
  • F.Bonomo, S.A.Choudum and T.Karthick, On b-perfect graph conjecture and forbidden subgraphs, Presented in "8th French Combinatorial Conference (2010)", France, and in "International Workshop on Graph Theory and its Applications (2010)", Trichy, India.