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PreprintCC0arXiv

Open Problems on the Null Space and Image Space of the Adjacency Matrix

Abstract

Akbari, Cameron, and Khosrovshahi proposed two questions concerning the null space and the image space of graphs. Although these problems have been studied in several cases, they have not yet been fully resolved. In this work, we present constructions of graphs that satisfy both the problems.

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BibTeX
@misc{priya2026open,
  title = {{Open Problems on the Null Space and Image Space of the Adjacency Matrix}},
  author = {K Kranthi Priya and K C Sivakumar},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08244},
  eprint = {2611.08244},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08244},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Open Problems on the Null Space and Image Space of the Adjacency Matrix
AU  - K Kranthi Priya
AU  - K C Sivakumar
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08244
UR  - https://arxiv.org/abs/2611.08244
AB  - Akbari, Cameron, and Khosrovshahi proposed two questions concerning the null space and the image space of graphs. Although these problems have been studied in several cases, they have not yet been fully resolved. In this work, we present constructions of graphs that satisfy both the problems.
ER  -