Research Article

On the -Component Independence Number of a Tree

Algorithm 1

Algorithm for finding minimum -component vertex covering.
Input: a tree with a vertex as its root.
Output: a minimum -component vertex covering of .
(1)
(2)while , do
(3) set , , for each
(4) if
(5)  choose a vertex
(6)   if , set , go to Step 2
(7)   if , put , and put , go to Step 4
(8) else
(9)  replace
(10) for each , go to Step 4
(11) end if
(12)end while
(13)return