Cutting lemma and union lemma for the domination game
Dorbec, Paul ...
V teorijo dominacijske igre sta vpeljani dve novi tehniki. Lema o prerezu omeji igralno dominacijsko število delno dominiranega grafa z igralnim dominacijskim številom ustrezno preoblikovanih delno ...dominiranih grafov. Lema o uniji omeji S-igralno dominacijsko število disjunktne unije poti z uporabo ustreznih utežnih funkcij. S pomočjo teh dveh orodij je dokazana prej postavljena domneva, ki pravi, da so t.i. pajki s tremi nogami kritični grafi za dominacijsko igro. Izpeljana je tudi razširjenalema o prerezu. Prikazana so vsa drevesa na 18, 19 in 20 vozliščih,ki so kritična za dominacijsko igro.
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