Parikh-friendly permutations and uniformly Parikh-friendly words
AUSTRALASIAN JOURNAL OF COMBINATORICS
Authors: Teh, Wen Chean
Abstract
The notion of Parikh-friendly permutations, originating from the study of Parikh matrices, was recently introduced by [Salomaa, Lec. Notes in Comp. Sci. 11011, Springer, Cham (2018), 100-112]. In this study, we show not only that every permutation is Parikh-friendly, but also that there exists a single word that witnesses the Parikh-friendliness of every permutation on a given ordered alphabet. In fact we introduce a relativized version of a Parikh-friendly permutation. As a result, words that are uniformly Parikh-friendly in a wider sense are effectively constructed.
Deciphering the mode of action and position of genetic variants impacting on egg number in broiler breeders
BMC GENOMICS
Authors: Tarsani, Eirini; Kranis, Andreas; Maniatis, Gerasimos; Avendano, Santiago; Hager-Theodorides, Ariadne L.; Kominakis, Antonios
Abstract
Background: Aim of the present study was first to identify genetic variants associated with egg number (EN) in female broilers, second to describe the mode of their gene action (additive and/or dominant) and third to provide a list with implicated candidate genes for the trait. A number of 2586 female broilers genotyped with the high density (similar to 600 k) SNP array and with records on EN (mean = 132.4 eggs, SD = 29.8 eggs) were used. Data were analyzed with application of additive and dominant multi-locus mixed models. Results: A number of 7 additive, 4 dominant and 6 additive plus dominant marker-trait significant associations were detected. A total number of 57 positional candidate genes were detected within 50 kb downstream and upstream flanking regions of the 17 significant markers. Functional enrichment analysis pinpointed two genes (BHLHE40andCRTC1) to be involved in the 'entrainment of circadian clock by photoperiod' biological process. Gene prioritization analysis of the positional candidate genes identified 10 top ranked genes (GDF15, BHLHE40, JUND, GDF3, COMP, ITPR1, ELF3, ELL, CRLF1andIFI30).Seven prioritized genes (GDF15, BHLHE40, JUND, GDF3, COMP, ELF3, CRTC1)have documented functional relevance to reproduction, while two more prioritized genes (ITPR1andELL) are reported to be related to egg quality in chickens. Conclusions: Present results have shown that detailed exploration of phenotype-marker associations can disclose the mode of action of genetic variants and help in identifying causative genes associated with reproductive traits in the species.