. . "A k-L(2, 1)-labeling of a graph is a mapping from its vertex set into a set of integers {0, ... , k} such that adjacent vertices get labels that differ by at least 2 and vertices in distance 2 get different labels. The main result of the paper is an algorithm finding an optimal L(2, 1)-labeling of a graph (i.e. an L(2, 1)-labeling in which the largest label is the least possible) in time 0*(7.4922(n)) and polynomial space. Then we adapt our method to obtain a faster algorithm for k-L(2, 1)-labeling, where k is a small positive constant. Moreover, a new interesting extremal graph theoretic problem is defined and solved."@en . "Rzazewski, Pawei" . . "P(GBP202/12/G061)" . . "A k-L(2, 1)-labeling of a graph is a mapping from its vertex set into a set of integers {0, ... , k} such that adjacent vertices get labels that differ by at least 2 and vertices in distance 2 get different labels. The main result of the paper is an algorithm finding an optimal L(2, 1)-labeling of a graph (i.e. an L(2, 1)-labeling in which the largest label is the least possible) in time 0*(7.4922(n)) and polynomial space. Then we adapt our method to obtain a faster algorithm for k-L(2, 1)-labeling, where k is a small positive constant. Moreover, a new interesting extremal graph theoretic problem is defined and solved." . "Discrete Applied Mathematics" . "Determining the L(2,1)-span in polynomial space"@en . . "4"^^ . . "Liedloff, Mathieu" . "000320680400025" . "10"^^ . "10.1016/j.dam.2013.03.027" . "Kratochv\u00EDl, Jan" . "11320" . "Determining the L(2,1)-span in polynomial space"@en . . . "1"^^ . "68980" . "RIV/00216208:11320/13:10191014!RIV14-GA0-11320___" . "Determining the L(2,1)-span in polynomial space" . . "13-14" . "Red-black graph; Polynomial space; Exact algorithm; Channel assignment problem; L(2,1)-labeling"@en . . "http://dx.doi.org/10.1016/j.dam.2013.03.027" . . . . "0166-218X" . "RIV/00216208:11320/13:10191014" . . "[4803BEFD2D7C]" . . . "Junosza-Szaniawski, Konstanty" . . "NL - Nizozemsko" . "Determining the L(2,1)-span in polynomial space" . . "161" . .