Results 21 to 30 of about 577,160 (277)
Planar cycle-extendable graphs [PDF]
Discrete Mathematics & Theoretical Computer ScienceFor most problems pertaining to perfect matchings, one may restrict attention to matching covered graphs - that is, connected nontrivial graphs with the property that each edge belongs to some perfect matching.
Aditya Y Dalwadi +3 more
doaj +1 more source
Multi-path Summation for Decoding 2D Topological Codes [PDF]
Quantum, 2018 Fault tolerance is a prerequisite for scalable quantum computing. Architectures based on 2D topological codes are effective for near-term implementations of fault tolerance.
Ben Criger, Imran Ashraf
doaj +1 more source
Characterization of perfect matching transitive graphs
Electronic Journal of Graph Theory and Applications, 2018 A graph G is perfect matching transitive, shortly PM-transitive, if for any two perfect matchings M and N of G, there is an automorphism f : V(G) ↦ V(G) such that fe(M) = N, where fe(uv) = f(u)f(v). In this paper, the author proposed the definition of PM-
Ju Zhou
doaj +1 more source
On the extremal connective eccentricity index among trees with maximum degree [PDF]
Transactions on Combinatorics, 2021 The connective eccentricity index (CEI) of a graph $G$ is defined as $\xi^{ce}(G)=\sum_{v \in V(G)}\frac{d_G(v)}{\varepsilon_G(v)}$, where $d_G(v)$ is the degree of $v$ and $\varepsilon_G(v)$ is the eccentricity of $v$. In this paper, we characterize the
Fazal Hayat
doaj +1 more source
NC Algorithms for Computing a Perfect Matching and a Maximum Flow in One-Crossing-Minor-Free Graphs
, 2020 In 1988, Vazirani gave an NC algorithm for computing the number of perfect matchings in $K_{3,3}$-minor-free graphs by building on Kasteleyn's scheme for planar graphs, and stated that this "opens up the possibility of obtaining an NC algorithm for ...
Eppstein, David, Vazirani, Vijay V.
core +1 more source
Extending a perfect matching to a Hamiltonian cycle [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Graph ...
Adel Alahmadi +5 more
doaj +1 more source
Binding Number, Toughness and General Matching Extendability in Graphs [PDF]
Discrete 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
On perfect matchings in matching covered graphs [PDF]
Journal of Graph Theory, 2018 AbstractA graph is matching‐covered if every edge of is contained in a perfect matching. A matching‐covered graph is strongly coverable if, for any edge of , the subgraph is still matching‐covered. An edge subset of a matching‐covered graph is feasible if there exist two perfect matchings and such that , and an edge subset with at least two ...
Jinghua He +3 more
openaire +2 more sources
哈林图的偶匹配可扩性(Bipartite matching-extendability of Halin graphs)
Zhejiang Daxue xuebao. Lixue ban, 2009 Let G be a connected graph containing a perfect matching. G is said to be bipartite matching extendable if every matching M of G whose induced subgraph is a bipartite matching extends to a perfect matching of G. The main result is as follows: Halin graph
HUIZhi-hao(惠志昊), ZHAOBiao(赵飚)
doaj +1 more source
Two short proofs of the Perfect Forest Theorem
Theory and Applications of Graphs, 2017 A perfect forest is a spanning forest of a connected graph $G$, all of whose components are induced subgraphs of $G$ and such that all vertices have odd degree in the forest.
Yair Caro, Josef Lauri, Christina Zarb
doaj +1 more source