… degree sequences of length n, π1 and π2, and the questions is whether there exists a graph
G on … holds: for every vertex v the red degree of v is π1(v) and the blue degree of v is π2(v). …

… We will first consider a variety of sequences and distances on them. We will also describe
a set of problems that can be parameterised by a distance measure. Then, for each class of …

… We will use this lemma to gain information on the remaining degree sequence of G(n, d)
when part of it has been constructed. Note that the probability lower bound 1 − exp …

Various Position Embeddings (PEs) have been proposed in Transformer based architectures
(eg BERT) to model word order. These are empirically-driven and perform well, but no …

… decoder and attribute-label sequence decoder respectively. We test our method and
baselines on semi-supervised node classification task. Experimental results on five real-world …

… Covering sequences and covering arrays. Since we will also have to consider meet
requirements later on, we now restrict our attention to embedding finite join-semidistributive lattices.(…

… For example, computing the similarity of two proteins, based on their amino acid sequences,
… In this paper, we focus on embedding methods that produce a mapping solely based on the …

… We find that the complex network degree sequence length is … If the degree distribution of a
complex network model is … paper, we will prove that its degree sequence length l is of order . …

… on the degree sequence of a graph G on n vertices that forces G to contain every bipartite
graph H on n vertices of bounded degree … stronger result where the condition on G is relaxed to …

… of path degree sequence and distance degree sequence using … Case(ii): No two vertices on
the cycle Cp will have same dds. … Case(i): Eccentricity of every vertex on a path is different as …