Results 21 to 30 of about 6,840 (159)
The complete list of Ramsey $(2K_2,K_4)$-minimal graphs
Electronic Journal of Graph Theory and Applications, 2015 Let $F, G,$ and $H$ be non-empty graphs. The notation $F \rightarrow (G,H)$ means that if all edges of $F$ are arbitrarily colored by red or blue, then either the subgraph of $F$ induced by all red edges contains a graph $G$ or the subgraph of $F ...
Kristiana Wijaya +3 more
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Restricted Size Ramsey Number Involving Matching and Graph of Order Five
Journal of Mathematical and Fundamental Sciences, 2020 Harary and Miller (1983) started the research on the (restricted) size Ramsey number for a pair of small graphs. They obtained the values for some pairs of small graphs with order not more than four.
Denny Riama Silaban +2 more
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Trees with Certain Locating-chromatic Number
Journal of Mathematical and Fundamental Sciences, 2016 The locating-chromatic number of a graph G can be defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and every two adjacent vertices in G are ...
Dian Kastika Syofyan +2 more
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev +2 more
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All graphs of order n ≥ 11 and diameter 2 with partition dimension n − 3
Heliyon, 2020 All graphs of order n with partition dimension 2, n−2, n−1, or n have been characterized. However, finding all graphs on n vertices with partition dimension other than these above numbers is still open.
Edy Tri Baskoro, Debi Oktia Haryeni
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On the enumeration of uniquely reducible double designs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 A double $2$-$(v,k,2 \lambda)$ design is a design which is reducible into two $2$-$(v,k,\lambda)$ designs. It is called uniquely reducible if it has, up to equivalence, only one reduction.
Veerle Fack +2 more
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Subdivision of graphs in R(mK2,P4)
Heliyon, 2020 For any graphs F,G, and H, the notation F→(G,H) means that any red-blue coloring of all edges of F will contain either a red copy of G or a blue copy of H. The set R(G,H) consists of all Ramsey (G,H)-minimal graphs, namely all graphs F satisfying F→(G,H)
Kristiana Wijaya +3 more
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The locating-chromatic number for Halin graphs
Communications in Combinatorics and Optimization, 2017 Let $G$ be a connected graph. Let $f$ be a proper $k$-coloring of $G$ and $\Pi=\{R_1,R_2,\ldots, R_k\}$ be an ordered partition of $V(G)$ into color classes. For any vertex $v$ of $G,$ define the {\em color code} $c_\Pi(v)$ of $v$ with respect to $\
I.A. Purwasih +4 more
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Machine learning‐based scheduling: a bibliometric perspective
IET Collaborative Intelligent Manufacturing, 2021 In recent years, the rapid development of artificial intelligence and data science has given rise to the study of data driven algorithms in highly volatile systems. The scheduling of complex shop floor resources falls into such a category, which is often
Shiyun Li +6 more
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On distance labelings of 2-regular graphs
Electronic Journal of Graph Theory and Applications, 2021 Let G be a graph with |V(G)| vertices and ψ : V(G) → {1, 2, 3, ... , |V(G)|} be a bijective function. The weight of a vertex v ∈ V(G) under ψ is wψ(v) = ∑u ∈ N(v)ψ(u). The function ψ is called a distance magic labeling of G, if wψ(v) is a constant for
Anak Agung Gede Ngurah +1 more
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