Geodesic
On imperfect critical graphs with incomplete critical component
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1985), pp. 33-37

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In this paper, we present two assertions that are collectively equivalent to the strong conjecture about imperfect graphs [1]. The article is devoted to the study of one of the statements. The previously known structure of a critical graph containing an incomplete critical component is given [2]. In conclusion, two conditions are found, each of which is necessary and sufficient for a critical graph containing an incomplete component to be an odd cycle without diagonals or its complement. 
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     title = {On imperfect critical graphs with incomplete critical component},
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A. S. Markosyan. On imperfect critical graphs with incomplete critical component. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1985), pp. 33-37. http://geodesic.mathdoc.fr/item/UZERU_1985_1_a4/