Article ID Journal Published Year Pages File Type
419999 Discrete Applied Mathematics 2013 13 Pages PDF
Abstract

We consider packing problems in graphs under a parameterized perspective. Starting from a maximal path packing PP of size jj we use extremal arguments for determining how many vertices of PP appear in a path packing of size j+1j+1. Generally, one can re-use 2j2j vertices of jj paths of length three, four and five. This is improved to 3j3j, 2.5j2.5j and 3j3j vertices.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
Authors
, ,