Results 31 to 40 of about 196,583,728 (297)

On Triangulations with High Vertex Degree [PDF]

open access: yesAnnals of Combinatorics, 2008
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}.
openaire   +3 more sources

On the measure of polynomials attaining maxima on a vertex [PDF]

open access: yes, 2019
We calculate the probability that a k-homogeneous polynomial in n variables attain a local maximum on a vertex in terms of the “sharpness” of the vertex, and then study the dependence of this measure on the growth of dimension and degree.
Ignacio Zalduendo   +3 more
core   +1 more source

On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

open access: yes, 2022
Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given ...
Ünal, Seda Oğuz   +2 more
core   +1 more source

Limit distributions of maximum vertex degree in a conditional configuration graph

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018
We consider configuration graphs with N vertices. The degrees of the vertices are independent identically distributed  random variables following the power-law distribution with positive parameter τ.
Irina Cheplyukova
doaj   +1 more source

Degree subtraction eigenvalues and energy of graphs [PDF]

open access: yesComputer Science Journal of Moldova, 2018
The degree subtraction matrix $DS(G)$ of a graph $G$ is introduced, whose $(j,k)$-th entry is $d_G(v_j) - d_G(v_k)$, where $d_G(v_j)$ is the degree of a vertex $v_j$ in $G$.
H. S. Ramane   +3 more
doaj  

Computing the degree of some matchings in a graph

open access: yesThe American Journal of Combinatorics
Let \(G\) be a connected graph. A matching \(M\) in \(G\) is a set of edges of \(G\) without two of them adjacent (having a common vertex). The graph whose vertices are the matchings in \(G\) and two matchings \(M\) and \(N\) are adjacent if and only if
Rosário Fernandes
doaj   +1 more source

A SURVEY M-POLAR FUZZY GRAPHS [PDF]

open access: yesFiabilitate şi Durabilitate, 2019
I will begin with the presentation of the basic definitions required for the development of this survey- graph. Rosenfeld [17] first introduced the concept of fuzzy graphs. After that fuzzy graph theory becomes a vast research area.
Iuliana Carmen BĂRBĂCIORU
doaj  

Vertex and edge covers with clustering properties: complexity and algorithms [PDF]

open access: yes, 2009
We consider the concepts of a t-total vertex cover and a t-total edge cover (t≥1), which generalise the notions of a vertex cover and an edge cover, respectively.
Fernau, H., Manlove, D.F.
core   +1 more source

Vertex-centric communities on degree-1 vertices.

open access: yes, 2017
We do not calculate extended vertex-centric communities for seed vertices of degree equal to 1. However, they may be included in extended communities centered on other vertices.
Yiannis Kompatsiaris (3826402)   +2 more
core   +1 more source

Towards plane spanners of degree 3

open access: yesJournal of Computational Geometry, 2017
Let $S$ be a finite set of points in the plane. In this paper we consider the problem of computing plane spanners of degree at most three for $S$. • If $S$ is in convex position, then we present an algorithm that constructs a plane $\frac{3+4\pi}{3 ...
Ahmad Biniaz   +5 more
doaj   +1 more source

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