REPLACEMENT AND ZIG-ZAG PRODUCTS, CAYLEY GRAPHS AND LAMPLIGHTER RANDOM WALK

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DONNO ALFREDO

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:1 Page(s): 11-35

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Information Journal Paper

Title

REPLACEMENT AND ZIG-ZAG PRODUCTS, CAYLEY GRAPHS AND LAMPLIGHTER RANDOM WALK

Author(s)

DONNO ALFREDO | Issue Writer Certificate

Keywords

REPLACEMENT AND ZIG-ZAG PRODUCTQ4

EXPANDER GRAPHQ4

LAMPLIGHTER RANDOM WALKQ4

CAYLEY GRAPHQ4

SEMIDIRECT AND WREATH PRODUCTQ4

Abstract

We investigate two constructions -the replacement and the zig-zag product of graphs- describing several fascinating connections with Combinatorics, via the notion of EXPANDER GRAPH, Group Theory, via the notion of semidirect product and CAYLEY GRAPH, and with Markov chains, via the LAMPLIGHTER RANDOM WALK. Many examples are provided.

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APA: Copy

DONNO, ALFREDO. (2013). REPLACEMENT AND ZIG-ZAG PRODUCTS, CAYLEY GRAPHS AND LAMPLIGHTER RANDOM WALK. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(1), 11-35. SID. https://sid.ir/paper/212650/en

Vancouver: Copy

DONNO ALFREDO. REPLACEMENT AND ZIG-ZAG PRODUCTS, CAYLEY GRAPHS AND LAMPLIGHTER RANDOM WALK. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(1):11-35. Available from: https://sid.ir/paper/212650/en

IEEE: Copy

ALFREDO DONNO, “REPLACEMENT AND ZIG-ZAG PRODUCTS, CAYLEY GRAPHS AND LAMPLIGHTER RANDOM WALK,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 1, pp. 11–35, 2013, [Online]. Available: https://sid.ir/paper/212650/en

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