Loopless Generation of Non-regular Trees with a Prescribed Branching Sequence1

  • Authors:
  • Ro-Yu Wu;Jou-Ming Chang;Yue-Li Wang

  • Affiliations:
  • -;-;-

  • Venue:
  • The Computer Journal
  • Year:
  • 2010

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Abstract

An ordered tree is called a non-regular tree with a prescribed branching sequence (or non-regular tree for short) if its internal nodes have a prespecified degree sequence in preorder list. We define a concise representation, called right distance sequences to describe such trees. A coding tree helps us to systematically investigate the structural representation of non-regular trees. Consequently, we present a loopless algorithm to generate Gray-codes of non-regular trees using right distance sequences.