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CONSTRUCTING THE HAMILTON CYCLE ON γ-ARY DE BRUIJN-GOOD GRAPH——THE γ-ARY DE BRUIJN SEQUENCE

杨君辉

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Abstract

In the paper we use a nonsingular function as an elementary recurring function togenerate a portion graph G(f)on r-ary de Bruijn-good graph,define order function on G(f),construct associated state matrix sets,merge cycles by interchanging successors of associated statesto form a full length cycle-the Hamilton cycle on r-ary de Bruijn-good graph(the r-ary d(?)Bruijn sequence).

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What this paper is about

In the paper we use a nonsingular function as an elementary recurring function togenerate a portion graph G(f)on r-ary de Bruijn-good graph,define order function on G(f),construct associated state matrix sets,merge cycles by interchanging successors of associated statesto form a full length cycle-the Hamilton cycle on r-ary de Bruijn-good graph(the r-ary d(?)Bruijn sequence).

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Available abstract

In the paper we use a nonsingular function as an elementary recurring function togenerate a portion graph G(f)on r-ary de Bruijn-good graph,define order function on G(f),construct associated state matrix sets,merge cycles by interchanging successors of associated statesto form a full length cycle-the Hamilton cycle on r-ary de Bruijn-good graph(the r-ary d(?)Bruijn sequence).

Key concepts: De Bruijn sequence, De Bruijn graph, Combinatorics, Hamiltonian path, Mathematics, Graph, Merge (version control), Discrete mathematics

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CONSTRUCTING THE HAMILTON CYCLE ON γ-ARY DE BRUIJN-GOOD GRAPH——THE γ-ARY DE BRUIJN SEQUENCE — Research Paper | ScholarLens