Bibliographic Details
| Title: |
Structure connectivity and substructure connectivity of strong exchanged hypercube. |
| Authors: |
Ma, Zheng1 (AUTHOR) mazheng9041@163.com, Ren, Shengzhang1 (AUTHOR) renshengzhang1980@163.com |
| Source: |
Theoretical Computer Science. Apr2026, Vol. 1069, pN.PAG-N.PAG. 1p. |
| Subjects: |
Hypercube networks (Computer networks), Graph connectivity, Computer network reliability, Fault tolerance (Engineering) |
| Abstract: |
As a fundamental variant of hypercube networks, the exchanged hypercube EH (s, t) is among the most prevalent interconnection topologies in modern computing systems. While connectivity is closely related to network reliability and fault tolerance. The exchange hypercube EH (s, t) is a common interconnection topology. To enhance its connectivity, we propose the strong exchange hypercube (SEH (s, t)) by adding a set of specific edges, denoted as E 4. Lin et al. extended the notion of connectivity by introducing two new kinds of connectivity, called structure connectivity κ (G ; H) and substructure connectivity κs (SEH (s, t); H), respectively. In this paper, we characterize the κ (SEH (s, t); H) and κs (SEH (s, t); H) of SEH (s, t) for H ∈ { P k , K 1, r , C 2 m }, where 2 ⩽ k ⩽ 2 s + 1 ⩽ s + t + 1 , 2 ≤ r ≤ s ≤ t , 4 ≤ 2 m ≤ 2 s. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
