Cameron, PJ and Das, A and Dey, HK (2022) On some properties of vector space based graphs. In: Linear and Multilinear Algebra .
Full text not available from this repository.Abstract
In this paper, we study some problems related to subspace inclusion graph In(V) and subspace sum graph g(V) of a finite-dimensional vector space V. Namely, we prove that In(V) is a Cayley graph as well as Hamiltonian when the dimension of V is 3. We also find the exact value of independence number of g(V) when the dimension of V is odd. The above two problems were left open in previous works in the literature. Moreover, we prove that the determining numbers of In(V) and g(V) are bounded above by 6. Finally, we study some forbidden subgraphs of these two graphs.
| Item Type: | Journal Article |
|---|---|
| Publication: | Linear and Multilinear Algebra |
| Publisher: | Taylor and Francis Ltd. |
| Additional Information: | The copyright for this article belongs to the Taylor and Francis Ltd. |
| Keywords: | base; Hamiltonian; Maximal intersecting family |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 06 Oct 2022 11:26 |
| Last Modified: | 06 Oct 2022 11:26 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77241 |
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