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connected chordal graph; ternary system

References:

[1] G. Chartrand and L. Lesniak: **Graphs & Digraphs**. Third edition. Chapman & Hall, London, 1996. MR 1408678

[2] R. Diestel: **Graph Theory**. Second Edition. Graduate Texts in Mathematics 173. Springer, New York, 2000. MR 1743598 | Zbl 0957.05001

[3] G. A. Dirac: **On rigid circuit graphs**. Abh. Math. Univ. Hamburg 25 (1961), 71–76. DOI 10.1007/BF02992776 | MR 0130190 | Zbl 0098.14703

[4] L. Nebeský: **Signpost systems and connected graphs**. Czech. Math. J. 55 (2005), 283–293. DOI 10.1007/s10587-005-0022-0 | MR 2137138