Results 31 to 40 of about 1,679,013 (321)
The first order convergence law fails for random perfect graphs [PDF]
, 2018 We consider first order expressible properties of random perfect graphs. That is, we pick a graph $G_n$ uniformly at random from all (labelled) perfect graphs on $n$ vertices and consider the probability that it satisfies some graph property that can be ...
Bender +10 more
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Discussiones Mathematicae Graph Theory, 2013 Given a graph G = (V,E) and a set Lv of admissible colors for each vertex v ∈ V (termed the list at v), a list coloring of G is a (proper) vertex coloring ϕ : V → S v2V Lv such that ϕ(v) ∈ Lv for all v ∈ V and ϕ(u) 6= ϕ(v) for all uv ∈ E.
Tuza Zsolt
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On very strongly perfect Cartesian product graphs
AIMS Mathematics, 2022 Let $ G_1 \square G_2 $ be the Cartesian product of simple, connected and finite graphs $ G_1 $ and $ G_2 $. We give necessary and sufficient conditions for the Cartesian product of graphs to be very strongly perfect.
Ganesh Gandal +2 more
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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.
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The Cost of Perfection for Matchings in Graphs [PDF]
, 2014 Perfect matchings and maximum weight matchings are two fundamental combinatorial structures. We consider the ratio between the maximum weight of a perfect matching and the maximum weight of a general matching.
Brazil, Emilio Vital +3 more
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Dual Perfect Bases and dual perfect graphs [PDF]
, 2014 We introduce the notion of dual perfect bases and dual perfect graphs. We show that every integrable highest weight module $V_q(\lambda)$ over a quantum generalized Kac-Moody algebra $U_{q}(\mathcal{g})$ has a dual perfect basis and its dual perfect ...
Byeong Hoon Kahng +3 more
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Some Variations of Perfect Graphs
Discussiones Mathematicae Graph Theory, 2016 We consider (ψk−γk−1)-perfect graphs, i.e., graphs G for which ψk(H) = γk−1(H) for any induced subgraph H of G, where ψk and γk−1 are the k-path vertex cover number and the distance (k − 1)-domination number, respectively.
Dettlaff Magda +3 more
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Perfect edge domination in vague graphs
Ratio Mathematica, 2021 In this paper, we modified undirected vague graphs and edge domination set based on these two concepts. We study the notions of perfect edge domination, connected perfect edge domination of vague graph. Moreover, we investigate some related properties in
M Kaliraja, P Kanibose, Abdul Ibrahim
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Perfect State Transfer on Cayley Graphs over Dihedral Groups: The Non-Normal Case
Electronic Journal of Combinatorics, 2020 Recently, perfect state transfer (PST for short) on graphs has attracted great attention due to their applications in quantum information processing and quantum computations.
X. Cao, Bocong Chen, San Ling
semanticscholar +1 more source
Nearly perfect sets in the n-fold products of graphs [PDF]
Opuscula Mathematica, 2007 The study of nearly perfect sets in graphs was initiated in [J. E. Dunbar, F. C. Harris, S. M. Hedetniemi, S. T. Hedetniemi, A. A. McRae, R. C. Laskar, Nearly perfect sets in graphs, Discrete Mathematics 138 (1995), 229-246]. Let \(S \subseteq V(G)\). We
Monika Perl
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