Results 21 to 30 of about 629,769 (266)

On Graphs with Induced Matching Number Almost Equal to Matching Number

open access: yesElectronic Notes in Discrete Mathematics, 2015
Abstract Kobler and Rotics in 2003, and Cameron and Walker in 2005, gave a complete structural description of the graphs G where the matching number ν ( G ) equals the induced matching number ν 2 ( G ) . We study their result and use it to analyse graphs G with ν ( G ) − ν 2 ( G ) ≤ k .
Marcio Antônio Duarte   +4 more
openaire   +1 more source

The Regularity of Edge Rings and Matching Numbers

open access: yesMathematics, 2020
Let K [ G ] denote the edge ring of a finite connected simple graph G on [ d ] and mat ( G ) the matching number of G. It is shown that reg ( K [ G ] ) ≤ mat ( G ) if G is non-bipartite and K [ G ] is normal,
Jürgen Herzog, Takayuki Hibi
doaj   +1 more source

Binding Number, Toughness and General Matching Extendability in Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
A connected graph $G$ with at least $2m + 2n + 2$ vertices which contains a perfect matching is $E(m, n)$-{\it extendable}, if for any two sets of disjoint independent edges $M$ and $N$ with $|M| = m$ and $|N|= n$, there is a perfect matching $F$ in $G ...
Hongliang Lu, Qinglin Yu
doaj   +1 more source

The Ordering of the Unicyclic Graphs with respect to Largest Matching Root with Given Matching Number

open access: yesJournal of Mathematics, 2022
The matching roots of a simple connected graph G are the roots of the matching polynomial which is defined as MGx=∑k=0n/2−1kmG,kxn−2k, where mG,k is the number of the k matchings of G. Let λ1G denote the largest matching root of the graph G.
Luozhong Gong, Weijun Liu
doaj   +1 more source

图的补距离矩阵谱半径的最大值(On maximal spectral radius of complementary distance matrix of graphs)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2013
We determine the graphs with maximal spectral radius of the complementary distance matrix among simple connected graphs with fixed order and matching number and diameter less than or equal to 2.
SULi(苏莉), LIHong-hai(李红海)
doaj   +1 more source

LOCK-FREE MULTITHREADED SEMI-GLOBAL MATCHING WITH AN ARBITRARY NUMBER OF PATH DIRECTIONS [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2020
This paper describes an efficient implementation of the semi-global matching (SGM) algorithm on multi-core processors that allows a nearly arbitrary number of path directions for the cost aggregation stage.
D. Frommholz
doaj   +1 more source

Matching residency numbers to the workforce needs [PDF]

open access: yesCurrent Reviews in Musculoskeletal Medicine, 2014
Matching the number of surgeons to the demands for orthopedic services has been notoriously difficult. Not only does one need to evaluate current trends in the supply and provision of services but anticipate the impact of future reforms on these variables. The British Orthopaedic Association has aspired to provide consultant to population ratio of 1:15,
S, Khan   +4 more
openaire   +2 more sources

当匹配数很小时具有最小拉普拉斯谱半径的树(Trees with small matching number and minimum Laplacian spectral radius)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2013
考虑了具有最小拉普拉斯谱半径的树的问题.并确定了当匹配数很小时具有最小拉普拉斯谱半径的树.
LINXi-qin(林西芹)   +2 more
doaj   +1 more source

On the Independence Number of Traceable 2-Connected Claw-Free Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
A well-known theorem by Chvátal-Erdőos [A note on Hamilton circuits, Discrete Math. 2 (1972) 111–135] states that if the independence number of a graph G is at most its connectivity plus one, then G is traceable.
Wang Shipeng, Xiong Liming
doaj   +1 more source

Fractional matching preclusion for generalized augmented cubes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
The \emph{matching preclusion number} of a graph is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings.
Tianlong Ma   +3 more
doaj   +1 more source

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