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89 442 (0,162s)

Result

Signed and minus domination in bipartite graphs

The paper studies the signed domination number and the minus domination number of the complete bipartite graph K-p,K-q....

BA - Obecná matematika

  • 2006
  • Jx
Result

Remarks on restrained domination and total restrained domination in graphs

The restrained domination number gamma(tau)(G) and the total restrained domination number gamma(t)(tau)(G) of a graph G were introduced recently by various authors as certain variants of the domination

BA - Obecná matematika

  • 2005
  • Jx
Result

Signed 2-domination in caterpillars

A caterpillar is a tree with the property that after deleting all its vertices of degree 1 a simple path is obtained. The signed 2-domination number gamma^2_ s(G) and the signed total 2-domination number gamma^2_st...

BA - Obecná matematika

  • 2004
  • Jx
Result

On signed edge domination numbers of trees

On signed edge domination numbers of trees...

BA - Obecná matematika

  • 2002
  • Jx
Result

Lower bound on the minus-domination number

We prove a lower bound for the minus-domination number of r-regular multigraphs, using a probabilistic argument.

BA - Obecná matematika

  • 2001
  • Jx
Result

Signed domination numbers of directed graphs

The concept of signed domination number of an undirected graph (introduced by J. E. Dunbar, S. T. Hedetniemi, M. A. Henning and P. J. Slater) is transferred. It is proved thatfor digraphs with a directed Hamiltonian cycle the signed...

BA - Obecná matematika

  • 2005
  • Jx
Result

On the m-eternal Domination Number of Cactus Graphs

by a guard moving from a neighboring vertex. The m-eternal domination number. In this paper we study the m-eternal domination number of cactus graphs, that is, connected of the m-eternal domination nu...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2019
  • D
  • Link
Result

Domination number of cubic graphs with large girth

We show that every n-vertex cubic graph with girth at least g have domination number at most 0.299871n+ O(n/g)<3n/10 + O(n/g).

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Domination in generalized Petersen graphs

Domination in generalized Petersen graphs...

BA - Obecná matematika

  • 2002
  • Jx
Result

Every 3-connected claw-free graph with domination number at most 3 is hamiltonian-connected

We prove that every 3-connected claw-free graph with domination number at most 3 is hamiltonian-connected. The result is sharp and it is inspired by a conjecture posed by Zheng, Broersma, Wang and Zhang in 2020....

Pure mathematics

  • 2022
  • Jimp
  • Link
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