Year 2022

• Generalized Dobrushin Coefficients on Banach Spaces

  Publication

  • W. Bartoszek
  • M. Beśka
  • W. Florek

  - Bulletin of the Iranian Mathematical Society - Year 2022

  The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on L1 (or positive operators on abstract state spaces).

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Year 2015

• On trees attaining an upper bound on the total domination number

  Publication

  • M. Krzywkowski

  - Bulletin of the Iranian Mathematical Society - Year 2015

  A total dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D. The total domination number of a graph G, denoted by γ_t(G), is the minimum cardinality of a total dominating set of G. Chellali and Haynes [Total and paired-domination numbers of a tree, AKCE International Journal of Graphs and Combinatorics 1 (2004), 69-75] established the following upper bound on the total domination...

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