Vertex yay or nay?
I would love to know what people think of Vertex (MA). I have heard before that is amazing and at the same time that is a horrible and toxic place for wet lab scientists. Any thoughts?...
Vertex (graph theory) - Wikipedia
In discrete mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed:
Vertex Omega 180I | Reef2Reef
Mar 20, 2020 · I've been trying decide on a new protein skimmer for my 125 gallon tank for some time now and yesterday I finally ordered the Vertex Omega 180I. When I placed the order I knew that this …
Keep getting rejections from Vertex
Title pretty much says it all. I have applied for a few roles at Vertex in the last two years and never even make it to phone interview stage. I’ve been in the industry for 18 years and have a ton o...
Vertex omega 150 replacement pump | Reef2Reef
Oct 7, 2012 · My vertex omega 150 pump impeller has some ceramic that chipped off. I was interested in a replacing the whole pump if possible. Quick search got me the tunze 9420 but I didn't know if …
From Donkeys to Kings in Tournaments
A tournament is an orientation of a complete graph. A vertex that can reach every other vertex within two steps is called a \emph{king}. We study the complexity of finding $k$ kings in a tournament graph. We show that the randomized query complexit...
Hardness of Finding Kings and Strong Kings
A king in a directed graph is a vertex $v$ such that every other vertex is reachable from $v$ via a path of length at most $2$. It is well known that every tournament (a complete graph where each edge has a direction) has at least one king. Our contr...
chenjd/Render-Crowd-Of-Animated-Characters
Animation Baker and Instancing for Animated Characters: Using GPU to implement large-amount animation characters rendering. The animation map for vertex shader to modify the vertex position of the mesh at runtime. Using GPU instancing to reduce draw calls. (⭐ 1751)
Toll number of the strong product of graphs
A tolled walk $T$ between two non-adjacent vertices $u$ and $v$ in a graph $G$ is a walk, in which $u$ is adjacent only to the second vertex of $T$ and $v$ is adjacent only to the second-to-last vertex of $T$. A toll interval between $u,v\in V(G)$ is...
Vertex nomination: The canonical sampling and the extended spectral nomination schemes
Suppose that one particular block in a stochastic block model is of interest, but block labels are only observed for a few of the vertices in the network. Utilizing a graph realized from the model and the observed block labels, the vertex nomination...
Boundary and Hearing Independent Broadcasts in Graphs and Trees
A broadcast on a connected graph G with vertex set V(G) is a function $f:V(G)\rightarrow \{0, 1, ..., \text{diam}(G)\}$ such that $f(v)\leq e(v)$ (the eccentricity of $v$) for all $v\in V$. A vertex $v$ is said to be broadcasting if $f(v)>0$, with th...
A Characetrization of Vertex Operator Algebra L(1/2,0)\otimes L(1/2,0)
It is shown that any simple, rational and C_2-cofinite vertex operator algebra whose weight 1 subspace is zero, the dimension of weight 2 subspace is greater than or equal to 2 and with central charge c=1, is isomorphic to L(1/2,0)\otimes L(1/2,0)....
Bull-free graphs and $χ$-boundedness
A bull is a graph obtained from a four-vertex path by adding a vertex adjacent to the two middle vertices of the path. A graph $G$ is bull-free if no induced subgraph of $G$ is a bull. We prove that for all $k,t\in \mathbb{N}$, if $G$ is a bull-free...
Localization on 4 sites for Vertex-reinforced random walks on $\mathbb Z$
We characterize non-decreasing weight functions for which the associated one-dimensional vertex reinforced random walk (VRRW) localizes on 4 sites. A phase transition appears for weights of order $n\log \log n$: for weights growing faster than this r...
Adding magnetic flux to the baryon vertex
We generalise the baryon vertex configuration of AdS/CFT by adding magnetic field on its worldvolume, dissolving D-string charge. A careful analysis of the configuration shows that there is an upper bound on the number of dissolved strings. We prov...
Competition-common enemy graphs of degree-bounded digraphs
The competition-common enemy graph (CCE graph) of a digraph $D$ is the graph with the vertex set $V(D)$ and an edge $uv$ if and only if $u$ and $v$ have a common predator and a common prey in $D$. If each vertex of a digraph $D$ has indegree at most...
Secretary Matching With Vertex Arrivals and No Rejections
Most prior work on online matching problems has been with the flexibility of keeping some vertices unmatched. We study three related online matching problems with the constraint of matching every vertex, i.e., with no rejections. We adopt a model in...
On the pebbling numbers of Flower, Blanuša, and Watkins snarks
Graph pebbling is a game played on graphs with pebbles on their vertices. A pebbling move removes two pebbles from one vertex and places one pebble on an adjacent vertex. The pebbling number $π(G)$ is the smallest $t$ so that from any initial config...
Graphs with unique Grundy dominating sets
Given a graph $G$ consider a procedure of building a dominating set $D$ in $G$ by adding vertices to $D$ one at a time in such a way that whenever vertex $x$ is added to $D$ there exists a vertex $y\in N_G[x]$ that becomes dominated only after $x$ is...
A note on fractional covers of a graph
A fractional colouring of a graph $G$ is a function that assigns a non-negative real value to all possible colour-classes of $G$ containing any vertex of $G$, such that the sum of these values is at least one for each vertex. The fractional chromatic...