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Full-Text Articles in Physical Sciences and Mathematics
On The Integer-Antimagic Spectra Of Non-Hamiltonian Graphs, Wai Chee Shiu, Richard M. Low
On The Integer-Antimagic Spectra Of Non-Hamiltonian Graphs, Wai Chee Shiu, Richard M. Low
Theory and Applications of Graphs
Let A be a nontrivial abelian group. A connected simple graph G = (V, E) is A-antimagic if there exists an edge labeling f: E(G) → A \ {0} such that the induced vertex labeling f+: V(G) → A, defined by f+(v) = Σ {f(u,v): (u, v) ∈ E(G)}, is a one-to-one map. In this paper, we analyze the group-antimagic property for Cartesian products, hexagonal nets and theta graphs.
Group-Antimagic Labelings Of Multi-Cyclic Graphs, Dan Roberts, Richard M. Low
Group-Antimagic Labelings Of Multi-Cyclic Graphs, Dan Roberts, Richard M. Low
Theory and Applications of Graphs
Let Α be a non-trivial abelian group. A connected simple graph G = (V, E) is Α-antimagic if there exists an edge labeling f: Ε(G) → A \{0} such that the induced vertex labeling f+: V(G) → Α, defined by f+(v) = Σ{f(u,v): (u, v) ∈ E(G)}, is a one-to-one map. The integer-antimagic spectrum of a graph G is the set IAM(G) = {κ: G is ℤk - antimagic and κ ≥ 2}. In this paper, we analyze the integer-antimagic spectra for various classes of multi-cyclic graphs.