Structural and Spectral Properties of Strictly Interval Graphs
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917501535780864 |
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| author | Justel, Claudia Markenzon, Lilian |
| author_facet | Justel, Claudia Markenzon, Lilian |
| contents | In this paper we deal with a subclass of chordal graphs, which are simultaneously strictly chordal and interval, the strictly interval graphs. We present a new characterization of the class that leads to a simple linear recognition algorithm. Next we introduce a new subclass of strictly interval graphs, the $SI$-core graphs, that are non-split and non-cograph graphs and show that several elements of the new class are Laplacian integral |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_01175 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structural and Spectral Properties of Strictly Interval Graphs Justel, Claudia Markenzon, Lilian Discrete Mathematics Combinatorics 05C75, 05C50 In this paper we deal with a subclass of chordal graphs, which are simultaneously strictly chordal and interval, the strictly interval graphs. We present a new characterization of the class that leads to a simple linear recognition algorithm. Next we introduce a new subclass of strictly interval graphs, the $SI$-core graphs, that are non-split and non-cograph graphs and show that several elements of the new class are Laplacian integral |
| title | Structural and Spectral Properties of Strictly Interval Graphs |
| topic | Discrete Mathematics Combinatorics 05C75, 05C50 |
| url | https://arxiv.org/abs/2512.01175 |