eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2008 20 3 709 712 jusps-B 1395 article R. Ganapathy Raman 1 R. Sattanathan 2 Lecturer, Department of Maths, D.G., Vaishnav College, Chennai & Research Scholar in Scsvmvu (INDIA) Reader & H.O.D, of maths, D.G., Vaishanav College, Chennai (INDIA) (Sri Chandra Sekara Sarasawathi Viswamaha Vidyalaya, University, Kanchipuram (INDIA) <p style="text-align: justify;">An alternative approach to the existence of a vertex n &Icirc; V(G) such that c(G - n) &sup3; c(G) - 1 is presented. If such a vertex exists for a planar graph, we show that there must also be one of minimum degree.<br /> &nbsp;</p> https://ultraphysicalsciences.org/paper/1395/ Chromatic numbers star number.