Results 21 to 30 of about 908,664 (294)
Li filtrations of SUSY vertex algebras [PDF]
Any vertex algebra has a canonical decreasing filtration, called the Li filtration, whose associated graded space has a natural structure of a vertex Poisson algebra.
Yanagida, Shintarou
core +1 more source
Vertex arboricity and maximum degree
This paper mainly proves that if a connected graph \(G= (V,E)\) is neither a cycle nor a clique, then there is a coloring of \(V\) with at most \(\lceil {{\Delta (G)} \over 2} \rceil\) colors such that all color classes induce forests and one of them is a minimum induced forest in \(G\).
Paul A. Catlin, Hong-Jian Lai
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Degree distance and vertex-connectivity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrick Ali +2 more
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Minimum 2SAT-DELETION: inapproximability results and relations to Minimum Vertex Cover [PDF]
The MINIMUM 2SAT-DELETION problem is to delete the minimum number of clauses in a 2SAT instance to make it satisfiable. It is one of the prototypes in the approximability hierarchy of minimization problems Khanna et al.
Chlebikova, Janka +5 more
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On second Zagreb index and coindex of some derived graphs [PDF]
The second Zagreb index is defined as the sum of the products of the degrees of adjacent vertices. In this note, we examine the second Zagreb indices of some derived graphs and find expressions for these in terms of vertex degrees.
Bommanahal Basavanagoud +2 more
doaj +1 more source
On the Vertex-Degree Based Invariants of Digraphs
Let $D=(V,A)$ be a digraphs without isolated vertices. A vertex-degree based invariant $I(D)$ related to a real function $φ$ of $D$ is defined as a summation over all arcs, $I(D) = \frac{1}{2}\sum_{uv\in A}{φ(d_u^+,d_v^-)}$, where $d_u^+$ (resp. $d_u^-$) denotes the out-degree (resp. in-degree) of a vertex $u$.
Hanyuan Deng +4 more
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On limit distributions of vertex degrees in a configuration graph
The configuration graph where vertex degrees are independent identically distributed random variables is often used for models of complex networks such as the Internet. We consider a random graph consisting of N+1 vertices.
Irina Cheplyukova
doaj +1 more source
This paper introduce two types of edge degrees (line degree and near line degree) and total edge degrees (total line degree and total near line degree) of an edge in a fuzzy semigraph, where a fuzzy semigraph is defined as (V, σ, μ, η ...
ARCHANA S., PREETHI KUTTIPULACKAL
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On Triangulations with High Vertex Degree [PDF]
We solve three enumerative problems concerning families of planar maps. More precisely, we establish algebraic equations for the generating function of non-separable triangulations in which all vertices have degree at least d, for a certain value d chosen in {3, 4, 5}.
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Graph realizations: Maximum degree in vertex neighborhoods
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Amotz Bar-Noy +3 more
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