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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.00268 |
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| _version_ | 1866910585985171456 |
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| author | DeLeo, Jared |
| author_facet | DeLeo, Jared |
| contents | A shared neighborhood structure (SNS) in a graph is a subgraph induced by the intersection of the open neighbor sets of two adjacent vertices. If a SNS is the same for all adjacent vertices in an edge-regular graph, call the SNS a uniform shared neighborhood structure (USNS). USNS-forbidden graphs (graphs which cannot be a USNS of an edge-regular graph) and USNS in graph products of edge-regular graphs are examined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00268 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform Shared Neighborhood Structures in Edge-Regular Graphs DeLeo, Jared Combinatorics Primary 05C75, Secondary 05C76 A shared neighborhood structure (SNS) in a graph is a subgraph induced by the intersection of the open neighbor sets of two adjacent vertices. If a SNS is the same for all adjacent vertices in an edge-regular graph, call the SNS a uniform shared neighborhood structure (USNS). USNS-forbidden graphs (graphs which cannot be a USNS of an edge-regular graph) and USNS in graph products of edge-regular graphs are examined. |
| title | Uniform Shared Neighborhood Structures in Edge-Regular Graphs |
| topic | Combinatorics Primary 05C75, Secondary 05C76 |
| url | https://arxiv.org/abs/2409.00268 |