For nodes 0000 and 1111, there exists four node-disjoint paths of length 4 (which happens to be the hamming distance between them). These paths are listed as travel from source 0000 through dimension 0-1-2-3 or 1-2-3-0 or 2-3-0-1 or 3-0-1-2 to the destination 1111. Question 1: how many node-disjoint paths between nodes 0000 and 1010 and what are their length? Question 2: for any two arbitrary nodes with the hamming distance r, how many node-disjoint paths among them with the distance r and what are they?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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For nodes 0000 and 1111, there exists four node-disjoint paths of length 4 (which happens to be the hamming distance between them). These paths are listed as travel from source 0000 through dimension 0-1-2-3 or 1-2-3-0 or 2-3-0-1 or 3-0-1-2 to the destination 1111.

Question 1: how many node-disjoint paths between nodes 0000 and 1010 and what are their length?

Question 2: for any two arbitrary nodes with the hamming distance r, how many node-disjoint paths among them with the distance r and what are they? 

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