Antimagic orientations of graphs with large maximum degree
DISCRETE MATHEMATICS
Authors: Yang, Donglei; Carlson, Joshua; Owens, Andrew; Perry, K. E.; Singgih, Inne; Song, Zi-Xia; Zhang, Fangfang; Zhang, Xiaohong
Abstract
Given a digraph D with m arcs, a bijection tau : A(D) -> {1, 2, ... , m} is an antimagic labeling of D if no two vertices in D have the same vertex-sum, where the vertex -sum of a vertex u in D under tau is the sum of labels of all arcs entering u minus the sum of labels of all arcs leaving u. We say (D, tau) is an antimagic orientation of a graph G if D is an orientation of G and tau is an antimagic labeling of D. Motivated by the conjecture of Hartsfield and Ringel (1990) on antimagic labelings of graphs, Hefetz et al. (2010) initiated the study of antimagic orientations of graphs, and conjectured that every connected graph admits an antimagic orientation. This conjecture seems hard, and few related results are known. However, it has been verified to be true for regular graphs and biregular bipartite graphs. In this paper, we prove that every connected graph G on n >= 9 vertices with maximum degree at least n - 5 admits an antimagic orientation. (c) 2020 Elsevier B.V. All rights reserved.
Inhibition of MAPT enhances the effect of bexarotene and attenuates the damage after traumatic brain injury using in vivo and in vitro experiments
AMERICAN JOURNAL OF HEALTH BEHAVIOR
Authors: Dong, Haihai; Wang, Haitao; Wang, Liang
Abstract
Traumatic brain injury (TBI) is the leading cause of death and disability around the world in all age groups. The primary injury of TBI is exacerbated by secondary injury, leading to an increased inflammatory response, cell death and even impairment of neurological function. Bexarotene has been found to improve neurological function in mice in an ApoE-dependent manner, but the detailed mechanism is not fully clear. Upregulated expression of MAPT has been found in mouse models after TBI; therefore, we hypothesized that inhibition of MAPT might contribute to the effects of bexarotene treatment in TBI models. Herein, we found that inhibition of MAPT enhanced the effects of bexarotene in increasing cellular viability and restoring brain function, and expression of anti-oxidative and anti-apoptotic molecules were elevated in response to inhibition of MAPT. These effects might be mediated by activation of the Nrf2/HO-1 signalling pathway and inhibition of the MAPK/NF-kappa B signalling pathway. Thus, we concluded that inhibition of MAPT might represent a novel treatment target for TBI.
COA
Publication 
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