Bibliographic Details
| Title: |
Alternative Proofs of a Theorem of Bose and Dowling for Strongly Regular Graphs. |
| Authors: |
TALBI, MALIK1 mtalbi@ksu.edu.sa |
| Source: |
Journal of Multiple-Valued Logic & Soft Computing. 2025, Vol. 46 Issue 5/6, p601-608. 8p. |
| Subjects: |
Graph theory, Regular graphs, Graph connectivity |
| Abstract: |
In this paper, we give two proofs of a theorem of Bose and Dowling on non necessarily regular graphs satisfying the two other conditions of strong regularity. This theorem states that a simple graph for which there exist two non-negative entegers λ and μ such that any two adjacent vertices have exactly λ common neighbors and any two nonadjacent vertices have exactly μ common neighbors, is regular except for some cases that can be considered as trivial. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
