A new proof of Wojcicka's conjecture (Q1811074)
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scientific article; zbMATH DE number 1925257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of Wojcicka's conjecture |
scientific article; zbMATH DE number 1925257 |
Statements
A new proof of Wojcicka's conjecture (English)
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10 June 2003
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A graph \(G\) is 3-domination-critical if its domination number is 3 and the addition of any edge decreases the domination number by 1. In 1990, \textit{E. Wojcicka} [J. Graph Theory 14, 205-215 (1990; Zbl 0702.05058)] conjectured that every 3-domination-critical graph with minimum degree \(\delta\geq 2\) is Hamiltonian. The authors present a new proof of this conjecture.
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domination-critical graph
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Hamiltonian cycle
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closure operation
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