The structure of edge-colored complete graphs containing no properly colored triangles has been characterized by Gallai back in the 1960s. More recently, Cǎda et al. and Fujita et al. independently determined the structure of edge-colored complete bipartite graphs containing no properly colored C 4 . We characterize the structure of edge-colored complete graphs containing no properly colored even cycles, or equivalently, without a properly colored C 4 or C 6 . In particular, we first deal with the simple case of 2-edge-colored complete graphs, using a result of Yeo. Next, for ≥ k 3, we define four classes of k-edgecolored complete graphs without properly colored even cycles and prove that any k-edge-colored complete graph without a properly colored even cycle belongs to one of these four classes.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
Sepsis‑associated encephalopathy (SAE) is a systemic inflammatory response syndrome of which the precise associated mechanisms remain unclear. Synoviolin (Syvn1) is an E3 ubiquitin ligase involved in conditions associated with chronic inflammation, including rheumatoid arthritis, obesity, fibrosis and liver cirrhosis. However, the role of Syvn1 in acute inflammation is not clear. The aim of the present study was to investigate the role of Syvn1 in a septic mouse model induced by cecal ligation/perforation (CLP). Metabolome analysis revealed that kynurenine (KYN), a key factor for the development of neuroinflammation, was increased in CLP‑induced septic mice. Notably, KYN was not detected in CLP‑induced septic Syvn1‑deficient mice. KYN is converted to kynurenic acid (KYNA) by kynurenine aminotransferases (KATs), which has a neuroprotective effect. The expression of KAT4 was significantly increased in Syvn1‑deficient mice compared to that in wild‑type mice. Promoter analysis demonstrated that Syvn1 knockdown induced the KAT4 promoter activity, as assessed by luciferase reporter activity, whereas Syvn1 overexpression repressed this activity in a dose‑dependent manner. Furthermore, the KAT4 promoter was significantly activated by the transcriptional factors, NF‑E2‑related factor 2 and peroxisome proliferator‑activated receptor coactivator 1β, which are targets of Syvn1‑induced degradation. In conclusion, the results of the current study demonstrates that the repression of Syvn1 expression induces the conversion of neurotoxic KYN to neuroprotective KYNA in a CLP‑induced mouse model of sepsis, and that Syvn1 is a potential novel target for the treatment of SAE.
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