Algorithmic Aspects of Perfect Graphs

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This chapter presents algorithmic aspects of perfect graphs and surveys a number of topics in algorithmic graph theory that involve classes of perfect graphs. Algorithmic complexity analysis deals with the quantitative aspects of problem solving. It addresses the issue of what can be computed within a practical or reasonable amount of time and space by measuring the resource requirements exactly or by obtaining upper and lower bounds for them. Various priorities can be established to guide the choice of candidates, and each priority will yield a slightly different algorithm. If candidates are stored in a queue, then single spanning tree (SST) gives a breadth-first search (BFS) of G. Storing candidates in a stack SST does a depth-first search (DFS). If the edges have costs associated with them, and if the candidate with minimum cost is always chosen, then SST produces a minimum cost-spanning tree (MST).

Original languageEnglish
Pages (from-to)301-323
Number of pages23
JournalNorth-Holland Mathematics Studies
Issue numberC
StatePublished - 1 Jan 1984
Externally publishedYes

Bibliographical note

Funding Information:
* This work was supported in part by the National Science Foundation under Grant No. MCS

ASJC Scopus subject areas

  • General Mathematics


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