Changing And Unchanging Properties Of Single Chromatic Transversal Domination Number Of Graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-52 Number-4
Year of Publication : 2017
Authors : Felix, E. Litta and L.Benedict Michael Raj
  10.14445/22315373/IJMTT-V52P539

MLA

Felix, E. Litta and L.Benedict Michael Raj 3"RChanging And Unchanging Properties Of Single Chromatic Transversal Domination Number Of Graphs", International Journal of Mathematics Trends and Technology (IJMTT). V52(4):262-266 December 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
G = (V,E) is called a dominating set if for every vertex v ∈ V − D, there exists a vertex u ∈ D such that u and v are adjacent. The cardinality of a mini-mum dominating set is called the domination number of a graph and is denoted by (G). A dominating set D is called a single chromatic transversal dominating set if D intersects every member (color class) of some chromatic partition, also called -partition of G.This set is called an std-set. The cardinality of a mini- mum std-set is called the single chromatic transversal domination number of a graph G and is denoted by st(G). The effect of the removal of an edge, a vertexor an addition of an edge of a graph over the st value is studied.

Reference
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Keywords
Domination number, single chromatic transversal domination number.