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Degree sequence of the generalized Sierpiński graph
Contributions Discret. Math., 2019Sierpiński graphs are studied in fractal theory and have applications in diverse areas including dynamic systems, chemistry, psychology, probability, and computer science.
A. Behtoei, M. Khatibi, F. Attarzadeh
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Speeding up Switch Markov Chains for Sampling Bipartite Graphs with Given Degree Sequence
International Workshop and International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2018textabstractWe consider the well-studied problem of uniformly sampling (bipartite) graphs with a given degree sequence, or equivalently, the uniform sampling of binary matrices with fixed row and column sums. In particular, we focus on Markov Chain Monte
C. J. Carstens, P. Kleer
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ACM Transactions on Database Systems
Recent work has demonstrated the catastrophic effects of poor cardinality estimates on query processing time. In particular, underestimating query cardinality can result in overly optimistic query plans which take orders of magnitude longer to complete ...
Kyle Deeds+3 more
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Recent work has demonstrated the catastrophic effects of poor cardinality estimates on query processing time. In particular, underestimating query cardinality can result in overly optimistic query plans which take orders of magnitude longer to complete ...
Kyle Deeds+3 more
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Extremal Theorems for Degree Sequence Packing and the Two-Color Discrete Tomography Problem
SIAM Journal on Discrete Mathematics, 2015A sequence $\pi=(d_1,\ldots,d_n)$ is graphic if there is a simple graph $G$ with vertex set $\{v_1,\ldots,v_n\}$ such that the degree of $v_i$ is $d_i$. We say that graphic sequences $\pi_1=(d_1^{(1)},\ldots,d_n^{(1)})$ and $\pi_2=(d_1^{(2)},\ldots,d_n^{(
Jennifer Diemunsch+3 more
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Adjacency Relationships Forced by a Degree Sequence
Graphs and Combinatorics, 2015There are typically several nonisomorphic graphs having a given degree sequence, and for any two degree sequence terms it is often possible to find a realization in which the corresponding vertices are adjacent and one in which they are not.
Michael D. Barrus
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Spectral radius and Average 2-Degree sequence of a Graph
Discret. Math. Algorithms Appl., 2014In a simple connected graph, the average 2-degree of a vertex is the average degree of its neighbors. With the average 2-degree sequence and the maximum degree ratio of adjacent vertices, we present a sharp upper bound of the spectral radius of the ...
Yu-pei Huang, Chih-wen Weng
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Descending sequences of degrees
Journal of Symbolic Logic, 1975Our unexplained notation is that of Rogers [4]. Let P ⊆ 2N × 2N. We call a sequence <An: n ∈ N> of subsets of N a P-sequence iff ∀n(An+1 = the unique B such that P(An, B)).Theorem. Let P ⊆ 2N × 2N be arithmetical. Then there is no P-sequence <An: n ∈ N> such that ∀n(A′n+1 ≤T An).This theorem improves a result of Friedman [2] who showed that
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The Aα-spectral radius of trees and unicyclic graphs with given degree sequence
Applied Mathematics and Computation, 2019Dan Li, Yuanyuan Chen, J. Meng
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Planning for post‐pandemic cancer care delivery: Recovery or opportunity for redesign?
Ca-A Cancer Journal for Clinicians, 2021Pelin Cinar+2 more
exaly
The Minimal Number of Subtrees with a Given Degree Sequence
Graphs Comb., 2015Xiu-Mei Zhang, Xiaodong Zhang
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