It is well known that if G=(V,E) is a connected multigraph and X subset of V is a subset of even order, then G contains a spanning forest H such that each vertex from X has an odd degree in H and all the other vertices have an even degree in H. This spanning forest may have...
On caterpillar factors in graphsCaterpillar factorOdd caterpillar factorInternally even caterpillar factorA caterpillar is either a K2 or a tree on at least 3 vertices such that deleting its leaves we obtain a path of order at least 1. Given a simple undirected graph G=(V,E), a caterpillar ...
The graphs in Fig. 5 illustrate how meteorological factors, daily industrial waste gas emissions, and AQI varied in Zhangdian District from 1st January 2017 to 31th December 2019. It can be seen that the period with the largest variations in AQI was from December to March, as there are multi...
The whale optimization algorithm has received much attention since its introduction due to its outstanding performance. However, like other algorithms, the whale optimization algorithm still suffers from some classical problems. To address the issues of
Fig. 13 shows that according to RRF parameters and permeability reduction results, the efficiency of the group (1) is higher by increasing the grain size at a given concentration and specific salinity. However, the other thing to keep in mind is that granularity should not be larger than the...
Specific microbes, small molecules (e.g. short-chain fatty acids), dietary interventions, and their combinations are promising factors for slowing down disease progression and lowering CRC incidence [13]. In recent years, interventions with lactic acid bacteria (LAB), especially in the form of ...
the student model is trained by a joint objective of both the origin downstream task loss and the knowledge distillation loss Lkd, where the former facilitates the student to learn from the original specific task, and the latter targets at transferring the knowledge from the teacher to the studen...
The relative amount of BrdU and Ki67 positive cells was further quantified using Image-Pro Plus software by IOD, as shown in the graphs (right). The areas of immunostaining are indicated by black arrows. (C) IHC staining was performed using the specific cell markers F4/80 and CD68 and ...
Based on this, this study does not discuss the specific importance and contribution of each similarity index. In this study, an equal weight calculation is carried out; that is, wP = wK = wS = 1/3. Average similarity of nodes $$Sim_i^S = \mathop {\sum}\limits_{...
Cell type-specific gene expression patterns are outputs of transcriptional gene regulatory networks (GRNs) that connect transcription factors and signaling proteins to target genes. Single-cell technologies such as single cell RNA-sequencing (scRNA-seq) and single cell Assay for Transposase-Accessible Ch...