Article ID Journal Published Year Pages File Type
4650905 Discrete Mathematics 2007 11 Pages PDF
Abstract

There are various greedy schemas to construct a maximal path in a given input graph. Associated with each such schema is the family of graphs where it always results a path of maximum length, or a Hamiltonian path/cycle, if there exists one. Considerable amount of work has been carried out, regarding the characterization and recognition problems of such graphs. We present here a systematic listing of previous results of this type and fill up most of the remaining empty entries.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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