Results 71 to 80 of about 9,193,291 (353)
Let S = (a1,. . . , am; b1, . . . , bn), where a1, . . . , am and b1, . . . , bn are two sequences of nonnegative integers. We say that S is a bigraphic pair if there exists a simple bipartite graph G with partite sets {x1, x2, . . . , xm} and {y1, y2, .
Yin Jian-Hua, Li Sha-Sha
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Degree sequences of matrogenic graphs
AbstractA structural description and a recognition algorithm for matrogenic graphs [4] are given. In fact, matrogenicity is seen to depend only on the degree sequence. An explicit characterization of the degree sequences of matrogenic graphs, and more generally of box-threshold graphs [10], is provided.
MARCHIORO P.+3 more
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Component Order Edge Connectivity, Vertex Degrees, and Integer Partitions
Given a finite, simple graph G, the k-component order connectivity (resp. edge connectivity) of G is the minimum number of vertices (resp. edges) whose removal results in a subgraph in which every component has an order of at most k − 1.
Michael R. Yatauro
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On the Distance Spectral Radius of Trees with Given Degree Sequence
We consider the problem of maximizing the distance spectral radius and a slight generalization thereof among all trees with some prescribed degree sequence.
Dadedzi Kenneth+2 more
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Degree Sequence Index Strategy [PDF]
We introduce a procedure, called the Degree Sequence Index Strategy (DSI), by which to bound graph invariants by certain indices in the ordered degree sequence.
Caro, Yair, Pepper, Ryan
core
Percolation on sparse random graphs with given degree sequence
We study the two most common types of percolation process on a sparse random graph with a given degree sequence. Namely, we examine first a bond percolation process where the edges of the graph are retained with probability p and afterwards we focus on ...
Fountoulakis, Nikolaos
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Efficient counting of degree sequences [PDF]
Novel dynamic programming algorithms to count the set $D(n)$ of zero-free degree sequences of length $n$, the set $D_c(n)$ of degree sequences of connected graphs on $n$ vertices and the set $D_b(n)$ of degree sequences of biconnected graphs on $n$ vertices exactly are presented.
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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
Computing the sum of k largest Laplacian eigenvalues of tricyclic graphs [PDF]
Pawan Kumar+2 more
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New Bounds For Degree Sequence Of Graphs [PDF]
Let $G = (V, E)$ be a simple graph with $n$ vertices, $m$ edges, and vertex degrees $d_1, d_2, ..., d_n$. Let $d_1, d_n$ be the maximum and and minimum degree of vertices. In this paper, we present lower and upper bounds for $\sum_{i=1}^{n}d_i^{2}$ and
Akbar Jahanbani
doaj