Research of Embedding onto Exchanged Hypercube Networks
Jiarong Liang
Abstract
Jiarong Liang
Abstract
In the paper,the problems of hypercube networks and embedding Star networks onto exchanged hypercube networks are studied.Fistly,we assign the embedding function from hypercube networks and Star networks onto exchanged hypercube networks by using graph-embedding,whose evaluating quality indexes are analyzed and proved.Next,two strategies are presented on embedding Star networks onto exchanged hypercube networks,i.e.,the so-called optimum embedding function and the odd-even embedding function.Based on that,the embedding function with less dilation from Star networks onto another exchanged network is given.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In the paper,the problems of hypercube networks and embedding Star networks onto exchanged hypercube networks are studied.Fistly,we assign the embedding function from hypercube networks and Star networks onto exchanged hypercube networks by using graph-embedding,whose evaluating quality indexes are analyzed and proved.Next,two strategies are presented on embedding Star networks onto exchanged hypercube networks,i.e.,the so-called optimum embedding function and the odd-even embedding function.Based on that,the embedding function with less dilation from Star networks onto another exchanged network is given.
Key concepts: Hypercube, Embedding, Computer science, Dilation (metric space), Star (game theory), Function (biology), Theoretical computer science, Embedding problem