On graphs with equal total domination and connected domination numbers

نویسنده

  • Xue-Gang Chen
چکیده

A subset S of V is called a total dominating set if every vertex in V is adjacent to some vertex in S. The total domination number γt (G) of G is the minimum cardinality taken over all total dominating sets of G. A dominating set is called a connected dominating set if the induced subgraph 〈S〉 is connected. The connected domination number γc(G) of G is the minimum cardinality taken over all minimal connected dominating sets of G. In this work, we characterize trees and unicyclic graphs with equal total domination and connected domination numbers. © 2005 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2006