Results 31 to 40 of about 9,193,291 (353)

Degree Sequence of Graph Operator for some Standard Graphs

open access: yes, 2020
Topological indices play a very important role in the mathematical chemistry. The topological indices are numerical parameters of a graph. The degree sequence is obtained by considering the set of vertex degree of a graph.
Harisha   +3 more
semanticscholar   +1 more source

Scaling limits of random bipartite planar maps with a prescribed degree sequence [PDF]

open access: yesRandom Struct. Algorithms, 2016
We study the asymptotic behavior of uniform random maps with a prescribed face‐degree sequence, in the bipartite case, as the number of faces tends to infinity.
Cyril Marzouk
semanticscholar   +1 more source

Spectral ordering and 2-switch transformations [PDF]

open access: yesThe American Journal of Combinatorics, 2022
We address the problem of ordering trees with the same degree sequence by their spectral radii. To achieve that, we consider 2-switch transformations which preserve the degree sequence and establish when the index decreases.
Elismar Oliveira   +2 more
doaj   +3 more sources

On the Grone-Merris conjecture [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
Grone and Merris [GM94] conjectured that the Laplacian spectrum of a graph is majorized by its conjugate vertex degree sequence. We prove that this conjecture holds for a class of graphs including trees.
Tamon Stephen
doaj   +1 more source

Some new results on sum index and difference index

open access: yesAIMS Mathematics, 2023
Let $ G = (V(G), E(G)) $ be a graph with a vertex set $ V(G) $ and an edge set $ E(G) $. For every injective vertex labeling $ f:V\left (G \right)\to \mathbb{Z} $, there are two induced edge labelings denoted by $ f^{+} :E\left (G \right)\to \mathbb{Z} $
Yuan Zhang, Haiying Wang
doaj   +1 more source

Symmetric bipartite graphs and graphs with loops [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
Graph ...
Grant Cairns, Stacey Mendan
doaj   +1 more source

Directed Networks with a Differentially Private Bi-degree Sequence [PDF]

open access: yesStatistica sinica, 2017
Although a lot of approaches are developed to release network data with a differentially privacy guarantee, inference using noisy data in many network models is still unknown or not properly explored.
T. Yan
semanticscholar   +1 more source

On degree sequence

open access: yesUbiquity, 2008
I ndi got her BS in Computer Science from Cal Poly and began her master's at Colorado State. She then worked as a software engineer, later managing Web applications that focused on the user. Her concepts in mental models derive from attempting to bridge the developer-user gap.
Samar Sen Sarma   +3 more
openaire   +2 more sources

The irregularity of two types of trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
The irregularity of a graph $G$ is defined as the sum of weights $|d(u)-d(v)|$ of all edges $uv$ of $G$, where $d(u)$ and $d(v)$ are the degrees of the vertices $u$ and $v$ in $G$, respectively.
Li Jianxi, Yang Liu, Wai Shiu
doaj   +1 more source

An inequality for degree sequences

open access: yesDiscrete Mathematics, 1992
AbstractLet d1, d2, …,dn be the degree sequence of a simple graph and suppose p is a positive integer. We show that (∑ni=1d1/pi)p ⩾ ∑ni=1 dpi. Related ‘real’ inequalities, i.e., not graphdependent, are analyzed.
L. H. Clark   +2 more
openaire   +2 more sources

Home - About - Disclaimer - Privacy