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On antimagic directed graphs

Journal of Graph Theory, 2009
AbstractAn antimagic labeling of an undirected graph G with n vertices and m edges is a bijection from the set of edges of G to the integers {1, …, m} such that all n vertex sums are pairwise distinct, where a vertex sum is the sum of labels of all edges incident with that vertex. A graph is called antimagic if it admits an antimagic labeling.
Dan Hefetz   +2 more
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Decomposition of Directed Graphs

SIAM Journal on Algebraic Discrete Methods, 1982
A composition for directed graphs which generalizes the substitution (or X-join) composition of graphs and digraphs, as well as the graph version of set-family composition, is described. It is proved that a general decomposition theory can be applied to the resulting digraph decomposition.
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Directed Graphs and Substitutions

Theory of Computing Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Holton, C., Zamboni, L. Q.
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On the Group of a Directed Graph

Canadian Journal of Mathematics, 1966
In 1938, Frucht (2) proved that for any given finite group G there exists a finite symmetric graph X such that G(X) is abstractly isomorphic to G. Since G(X) is a permutation group, it is natural to ask the following related question : If P is a given finite permutation group, does there exist a symmetric (and more generally a directed) graph X such ...
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On a game in directed graphs

Information Processing Letters, 2002
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Alan J. Hoffman   +2 more
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On Graceful Directed Graphs

SIAM Journal on Algebraic Discrete Methods, 1985
This very interesting paper introduces the concept of graceful directed graphs as follows. A digraph D with e arcs is numbered by assigning a distinct integer value h(v) from \(\{\) 0,1,...,e\(\}\) to each node v. Each arc (u,v) receives a value \(h(u,v)=h(v)-h(u)\) (mod e\(+1)\).
Bloom, G. S., Hsu, D. F.
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Graph directed locking

IEEE Transactions on Software Engineering, 1988
A non-two-phase database concurrency control technique is introduced. The technique is deadlock-free, places no restrictions on the structure of the data, never requires data to be reread, never forces a transaction to be rolled back in order to achieve serializability, applies a type of lock conversion, and allows items to be released to subsequent ...
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Classes of Directed Graphs

2018
This edited volume offers a detailed account on the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic.Outlining fundamental discoveries and new results obtained over recent years, this book provides a comprehensive overview of the latest research in the field.
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Naming on a Directed Graph

2011
We address how the structure of a social communication system affects language coordination. The naming game is an abstraction of lexical acquisition dynamics, in which N agents try to find an agreement on the names to give to objects. Most results on naming games are specific to certain communication network topologies.
Giorgio Gosti, William H. Batchelder
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Topology aggregation for directed graph

Proceedings Third IEEE Symposium on Computers and Communications. ISCC'98. (Cat. No.98EX166), 2001
This paper addresses the problem of aggregating the topology of a sub-network in a compact way with minimum distortion. The problem arises from networks that have a hierarchical structure, where each sub-network must advertise the cost of routing between each pair of its border nodes.
Baruch Awerbuch, Yuval Shavitt
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