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For a vertex, the number of head ends adjacent to a vertex is called the indegree of the vertex and the number of tail ends adjacent to a vertex is its outdegree...

u , v ) {\displaystyle (u,v)} received updates the indegree of the local vertex v. If the indegree drops to zero, v is added to Q j 2 {\displaystyle Q_{j}^{2}}...

that the Laplacian matrix is singular). For directed graphs, either the indegree or outdegree might be used, depending on the application, as in the following...

denoted 𝛿 +(v), from the indegree (number of incoming edges), denoted 𝛿−(v); a source vertex is a vertex with indegree zero, while a sink vertex is...

regular directed graph must also satisfy the stronger condition that the indegree and outdegree of each internal vertex are equal to each other. A regular...

simple directed graph such that each vertex v i {\displaystyle v_{i}} has indegree a i {\displaystyle a_{i}} and outdegree b i {\displaystyle b_{i}} . The...

is connected and the indegree is equal to outdegree at every vertex. In this case G is called Eulerian. We denote the indegree of a vertex v by deg(v)...

{"rule": "fixed_indegree", "indegree": 1000}, "excitatory") nest.Connect(nodes_in, nodes_ex + nodes_in, {"rule": "fixed_indegree", "indegree": 250}, "inhibitory")...

Condorcet methods. If every player beats the same number of other players (indegree − outdegree = 0) the tournament is called regular. The number of unlabeled...

two separate measures of degree centrality, namely indegree and outdegree. Accordingly, indegree is a count of the number of ties directed to the node...

( a n , b n ) ) {\displaystyle ((a_{1},b_{1}),...,(a_{n},b_{n}))} the indegree-outdegree pairs of a labeled directed graph with at most one loop per vertex...

where m is the number of edges from i to j; The entry qi,i equals the indegree of i minus the number of loops at i. The number of oriented spanning trees...

graph is a graph in which each subgraph has a vertex of degree at most k. Indegree, outdegree for digraphs Degree distribution Degree sequence for bipartite...

computer-supported collaborative learning such as: density, centrality, indegree, outdegree, and sociogram. Density refers to the "connections" between...

assignment of a direction to each edge of G such that, at each vertex v, the indegree of v equals the outdegree of v. Such an orientation exists for any undirected...

from (respectively, to) a vertex v is called the outdegree (respectively, indegree) of v and is denoted by od(v) (respectively, id(v)). The new digraph conjecture...

,x_{n}} is a directed acyclic graph as follows. Every node in it with indegree zero is called an input gate and is labeled by either a variable x i {\displaystyle...

undirected planar graphs of maximum degree three, directed planar graphs with indegree and outdegree at most two, bridgeless undirected planar 3-regular bipartite...

graph. When are pairs of non-negative integers ((a1,b1), ..., (an,bn)) the indegree-outdegree pairs of a labeled directed graph with at most one loop per vertex...

n ) ) {\displaystyle ((a_{1},b_{1}),\ldots ,(a_{n},b_{n}))} to be the indegree-outdegree pairs of a simple directed graph; a sequence obeying these conditions...

vertex by two. In a directed graph, the term degree may refer either to indegree (the number of incoming edges at each vertex) or outdegree (the number...

a data set using a distance function. As the dimension increases, the indegree distribution of the k-NN digraph becomes skewed with a peak on the right...

acyclic, and also exhibits the following additional properties: all 0-indegree and all 0-outdegree vertices appear on the same face (often assumed to...

orientation D {\displaystyle D} of G {\displaystyle G} such that every point has indegree and outdegree = k {\displaystyle =k} . Next, replace every vertex v ∈ V...

into two edges, e1 and e2, connecting to a new vertex w of degree-2, or indegree-1 and outdegree-1 for the directed edge: Determining whether for graphs...

graphs. An ear is then a directed path where all internal vertices have indegree and outdegree equal to 1. A directed graph is strongly connected if it...

CFG, every edge A→B should have the property that: outdegree(A) > 1 or indegree(B) > 1 (or both). Such a graph can be derived from the one-statement-per-block...

v, either there is an edge from u to v or the outdegree of u plus the indegree of v equals or exceeds the number of vertices in G. Then, according to...

graph on 168 vertices and 126 pairwise arc-disjoint 4-cycles with regular indegree and outdegree 3 and no circuits of lengths 2 and 3 by altering a definition...

with the highest indegrees and the users with the highest retweet/mention counts were not the same. The top 1% of users by indegree are shown to have...

1016/S0021-9800(68)80081-X Venkateswaran, V. (2004), "Minimizing maximum indegree", Discrete Applied Mathematics, 143 (1–3): 374–378, doi:10.1016/j.dam.2003...

NP-complete even with strong restrictions on the graph, such as small indegree and outdegree. Furthermore, even finding an ε {\displaystyle \varepsilon...

^{-}} . Given a vertex i {\textstyle i} , d i − {\displaystyle d_{i}^{-}} (indegree) denotes the number of arcs enter i {\displaystyle i} , d i + {\displaystyle...

players by whose actions any single player is affected (that is, it is the indegree of the game graph), the number of utility values needed to describe the...

Eulerian orientation of the graph (an orientation for which every vertex has indegree equal to its outdegree) may be found by orienting the edges consistently...

Snir (1990) instead use the opposite definition, in which each vertex has indegree one; the resulting graphs, which they call unicycular, are the transposes...

usually defined as two separate measures of degree centrality, namely indegree and outdegree. Betweenness centrality quantifies the number of times a...

clockwise around the polygon. For, in this tournament, every vertex has indegree and outdegree equal to n − 2 {\displaystyle n-2} , while the central vertex...

GF(2^{s})} . More formally, each node, p k {\displaystyle p_{k}} with indegree, I n D e g ( p k ) = S {\displaystyle InDeg(p_{k})=S} , generates a message...

for instance, it is often assumed that all nodes have strictly positive indegree and outdegree: again, the theory of graph (op)fibrations can be developed...

{\displaystyle O(n)} queries to test. A sink, in a directed graph, is a vertex of indegree n − 1 {\displaystyle n-1} and outdegree zero. The existence of a sink can...