Topological Integer Additive Set-Sequential Graphs
نویسندگان
چکیده
منابع مشابه
Topological Integer Additive Set-Graceful Graphs
Let N0 denote the set of all non-negative integers and X be any subset of X. Also denote the power set of X by P(X). An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) ! P(X) such that the induced function f+ : E(G) ! P(X) is defined by f+(uv) = f(u) + f(v), where f(u) + f(v) is the sumset of f(u) and f(v). An IASL f is said to be a topological IASL (Top-IAS...
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For a non-empty ground set X, finite or infinite, the set-valuation or set-labeling of a given graph G is an injective function f : V (G) ! P(X) such that the induced edge-function f : E(G) ! P(X) ?? f;g is defined by f (uv) = f(u) f(v) for every uv2E(G), where P(X) is the power set of the set X and is a binary operation on sets. A set-indexer of a graph G is an set-labeling f : V (G) such that...
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Let N0 be the set of all non-negative integers, let X N0 and P(X) be the the power set of X. An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) is defined by f+(uv) = f(u) + f(v), where f(u) + f(v) is the sum set of f(u) and f(v). An IASL f is said to be an integer additive set-indexer (IASI) of a grap...
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We propose to study a problem that arises naturally from both Topological Numbering of Directed Acyclic Graphs, and Additive Coloring (also known as Lucky Labeling). Let D be a digraph and f a labeling of its vertices with positive integers; denote by S(v) the sum of labels over all neighbors of each vertex v. The labeling f is called topological additive numbering if S(u) < S(v) for each arc (...
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Let N0 denote the set of all non-negative integers and P(N0) be its power set. An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) → P(N0) such that the induced function f : E(G)→ P(N0) is defined by f(uv) = f(u)+f(v), where f(u)+f(v) is the sumset of f(u) and f(v). An IASL f is said to be an integer additive set-indexer (IASI) if the associated edge-function...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2015
ISSN: 2227-7390
DOI: 10.3390/math3030604