An Efficient On-Line Algorithm for Edge-Ranking of Trees

• Autor(a) principal: Rahman, Muntasir Raihan
• Data de Publicação: 2008
• Outros Autores: Kashem, Abul, Haque, MD. Ehtesamul
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: INFOCOMP: Jornal de Ciência da Computação
• Texto Completo: https://infocomp.dcc.ufla.br/index.php/infocomp/article/view/213
• topic: Algorithm; Edge-ranking; Graph; Tree; Visible Edge

An edge-ranking of a graph G is a labeling of the edges of G with positive integers such that every path between two edges with the same label ° contains an edge with label ¸ > °. In the on-line edge-ranking model the edges e1; e2 : : : ; em arrive one at a time in any order, where m is the number of edges in the graph. Only the partial information in the induced subgraph G[fe1; e2; ... ; eig] is available when the algorithm must choose a rank for ei. In this paper, we present an on-line algorithm for ranking the edges of a tree in time O(n2), where n is the number of vertices in the tree.