The upper connected geodetic number and forcing connected geodetic number of a graph. - A. P. Santhakumaran; P. Titus; Johnson John (Discret. Appl. Math., 2009)

On edge detour graphs. - S. Athisayanathan; A. P. Santhakumaran (Discuss. Math. Graph Theory, 2010)

The edge geodetic number and Cartesian product of graphs. - A. P. Santhakumaran; S. V. Ullas Chandran (Discuss. Math. Graph Theory, 2010)

The geodetic number of strong product graphs. - A. P. Santhakumaran; S. V. Ullas Chandran (Discuss. Math. Graph Theory, 2010)

Weak Edge Detour Number of a Graph. - A. P. Santhakumaran; S. Athisayanathan (Ars Comb., 2011)

Geodesic Graphs. - A. P. Santhakumaran; P. Titus (Ars Comb., 2011)

On the Vertex Geodomination Number of a Graph. - A. P. Santhakumaran; P. Titus (Ars Comb., 2011)

The Linear geodetic Number of a Graph. - A. P. Santhakumaran; T. Jebaraj; S. V. Ullas Chandran (Discret. Math. Algorithms Appl., 2011)

Monophonic Distance in Graphs. - A. P. Santhakumaran; P. Titus (Discret. Math. Algorithms Appl., 2011)

The forcing Steiner number of a graph. - Johnson John; A. P. Santhakumaran (Discuss. Math. Graph Theory, 2011)

On the forcing geodetic and forcing Steiner numbers of a graph. - Johnson John; A. P. Santhakumaran (Discuss. Math. Graph Theory, 2011)

The hull number of strong product graphs. - A. P. Santhakumaran; S. V. Ullas Chandran (Discuss. Math. Graph Theory, 2011)

The connected forcing connected vertex detour number of a graph. - A. P. Santhakumaran; P. Titus (Discuss. Math. Graph Theory, 2011)

The Geo-Number Of A Graph. - A. P. Santhakumaran; P. Titus (Ars Comb., 2012)

Extreme Steiner Graphs. - A. P. Santhakumaran (Discret. Math. Algorithms Appl., 2012)

A Note on "Monophonic Distance in Graphs". - A. P. Santhakumaran; P. Titus (Discret. Math. Algorithms Appl., 2012)

Double geodetic number of a graph. - T. Jebaraj; A. P. Santhakumaran (Discuss. Math. Graph Theory, 2012)

Median of a graph with respect to edges. - A. P. Santhakumaran (Discuss. Math. Graph Theory, 2012)

The vertex detour hull number of a graph. - A. P. Santhakumaran; S. V. Ullas Chandran (Discuss. Math. Graph Theory, 2012)

The vertex monophonic number of a graph. - A. P. Santhakumaran; P. Titus (Discuss. Math. Graph Theory, 2012)

On the monophonic sets of the strong product graphs. - S. V. Ullas Chandran; A. P. Santhakumaran (Ars Comb., 2017)

On the connected monophonic number of a graph. - K. Ganesamoorthy; M. Murugan; A. P. Santhakumaran (Int. J. Comput. Math. Comput. Syst. Theory, 2022)

Minimal total open monophonic sets in graphs. - A. P. Santhakumaran; M. Mahendran; F. Simon Raj; K. Ganesamoorthy (Int. J. Comput. Math. Comput. Syst. Theory, 2022)

The restrained double geodetic number of a graph. - A. P. Santhakumaran; K. Ganesamoorthy (Discret. Math. Algorithms Appl., 2023)

On the open monophonic number of a graph. - A. P. Santhakumaran; M. Mahendran; K. Ganesamoorthy (Discret. Math. Algorithms Appl., 2024)