Improper choosability of graphs and maximum average degree
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Improper choosability of graphs and maximum average degree Frédéric Havet — Jean-Sébastien Sereni. N° 5164 Mars 2004. ISSN 0249-6399. ISRN INRIA/RR--5164--FR+ENG. THÈME 1. apport de recherche.
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(351) _sww7dgVigwT_saVipdgVKb dgQtVw . x 6= w. _awTu]pwToKV. |L1 (x)| ≥ l − (dG (x) − dQ1 (x)) = l − dG (x) + dG (x) − l + 1 + 1 = 2 d+ (w) = dG (w) − l. T`cd. u. ]Re9VKdq`twoKkaka`Ti^V;u . |L1 (w)| ≥ l − (dG (w) − dQ1 (w)) + 1 = l − dG (w) + dG (w) − l + 1 + 1 = 2.. <>=Ô%<@?.
(352) X¦z.
(353) !#"$ %$. TkaiRdgQtVvi^kBkad. . v d− (v) = 0. t`cd. u. ]R`twoKkaka`Ti^V;u$e9VKdq]pk . |L1 (v)| ≥ l − (dG (v) − dQ1 (v)) + 1 = l − dG (v) + dG (v) − l + 1 + 1 = 2,. _awTu$kaiq_V;_. f∈S. . |L1 (f )| ≥ l − dG (f ) + dQ (f ) ≥ l − (l + k − 1) + dQ (f ) = dQ (f ) − k + 1.. PRQB`T]
(354) ¯V,U_¦e$_srtrTe VUWU_a],X9X,_awTu?X;~cP1kuck]pkcV okaka`ti
(355) _adgQtVvV;_¦aV;]w B`Trtrk7]pV°Tig]pd k ≥ 2 D¯e VUWU_#XaX9
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