MATCHINGS IN LINE GRAPHS

  • Nam, Yun-Sun (Mathematics Department, Ehwa Womans University)
  • Published : 2000.02.01

Abstract

In this paper, we obtain an algorithm for finding a maximum matching in the line graph L(G) of a graph G. The complexity of our algorithm is O($$\mid$E$\mid$$), where is the edge set of G($$\mid$E$\mid$$ is equal to the number of vertices in L(G)).

Keywords

matching;line graph

References

  1. Proc. 21st Annual IEEE Symposium on Foundations of Computer Science An O(√( lVl· lEl)) algorithm for finding a maximum matching in general graphs S. Micali;V. Vazirani
  2. Indag. Math. v.35 The existence of 1-factors in line graphs, squares and total graphs G.Chartrand;A.D. Polimeni;M.J. Stewart