Editing Heavy-light decomposition
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then save the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 2: | Line 2: | ||
==Definition== | ==Definition== | ||
− | The ''heavy-light decomposition'' of a tree <math>T=(V,E)</math> is a coloring of the tree's edges. Each edge is either ''heavy'' or ''light''. To determine which, consider the edge's two endpoints: one is closer to the root, and one is further away. If the size of the subtree rooted at the | + | The ''heavy-light decomposition'' of a tree <math>T=(V,E)</math> is a coloring of the tree's edges. Each edge is either ''heavy'' or ''light''. To determine which, consider the edge's two endpoints: one is closer to the root, and one is further away. If the size of the subtree rooted at the former is more than half that of the subtree rooted at the latter, the edge is heavy. Otherwise, it is light. |
==Properties== | ==Properties== |