%0 Journal Article %T Labeling cacti with a condition at distance two %A S. K. Vaidya %A D. D. Bantva %J Le Matematiche %D 2011 %I University of Catania %X An L(2,1)-labeling of a graph G is a function f from the vertex set V(G) to the set of all nonnegative integers such that | f (x)- f (y)| ¡Ý 2 if d(x, y) = 1 and | f (x) - f (y)| ¡Ý 1 if d(x, y) = 2. The L(2,1)-labeling number ¦Ë(G) of G is the smallest number k such that G has an L(2,1)-labeling with max{f (v) : v V(G)} = k. In this paper we present a graph family which has ¦Ë-number ¦¤+1 or ¦¤+2. %K L(2 %K 1)-labeling %K ¦Ë-number %K Cactus graph %K Block cut point graph %K One point union of cycles %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/775