This chapter investigates the concept of domination in quantum graphs. The dynamic weights of vertices represent time-dependent values, while the entangled edges capture the quantum correlations between vertices. We begin by discussing quantum graphs and introducing the concept of domination and threshold domination in the graph. Then we discuss the properties of domination in quantum graphs.

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Domination in Quantum Graphs

  • Ananta Maity,
  • Sukumar Mondal,
  • Tofigh Allahviranloo,
  • Sovan Samanta

摘要

This chapter investigates the concept of domination in quantum graphs. The dynamic weights of vertices represent time-dependent values, while the entangled edges capture the quantum correlations between vertices. We begin by discussing quantum graphs and introducing the concept of domination and threshold domination in the graph. Then we discuss the properties of domination in quantum graphs.