In this paper, we find that when there are enough parallel edges, any multiple graph is a negative answer to the problem 8.7 in their paper [European J. Combin. 95 (2021), 103329]: Is the restricted-orientable
Irregular neutrosophic graphs Throughout this section, we assume that (X, m) is a multiplicative metric space and G = (V, E) is a directed graph such that V = X, {(x, x): x E V } E and G has no parallel edges. CARISTI MAPPING IN MULTIPLICATIVE METRIC SPACES We denote by [....
In this paper, we consider only undirected unweighted simple (without loops or parallel edges) graphs. A graph G=(V,E) is connected if, for every u,v∈V, there exists a path between u and v in G. We now only consider connected graphs. For any v∈V, let NG(v) be the neighbors...
In combinatorial mathematics, the series-parallel networks problem asks for the number of networks that can be formed using a given number of edges. The edges can be distinguishable or indistinguishable. When the edges are indistinguishable, consider the
The algorithms, designed to achieve high degree of parallelism by minimizing inter-processor communications, are two of the fastest graph generators which are capable of generating scale-free graphs with billions of vertices and edges. The synthetic graphs generated by the proposed methods possess the...
2 and 3, that is, the edges of the 6-kb deletion, and coverage across this deletion in single cells, suggested the presence of three different subclonal cell populations we termed subclone nos. 1–3. Clone no. 1 contained an intact ecDNA lacking deletions. Clone no. 2 harbored a mixed...
shown in Fig. 8.1d as an example, its two bridge vertices are 1 and 13, you can find the path 1-10-11-2 from the root path set of bridge 206 8 Parallel Vertex Coloring DNA Computing Model Fig. 8.3 Subgraph G'3. vertex sorting and corresponding set of 11 edges [1] point 1; ...
There are three types of crossings: Drawing Series-Parallel Graphs on Restricted Integer 3D Grids 243 1. Crossing on a track (overlap). The only edges having both endvertices on the same track are the edges of the simple paths connecting the poles of a P -child of µ. The endvertices...
The log N edges connected to each vertex of the hypercube are now separately connected to log N vertices in the chain, one per vertex. The total number of nodes in cube-connected cycles is N log N and the number of links is 1.5 N log N. The number of disjoint paths between any two...
This algorithm can handle up to 100 million updates per second in social networks with 30 million edges, providing a speedup from 4 times to 3700 times over re-computing the changes in the static network. One downside of this approach is the parallel scalability of re-agglomeration. But still...