- Title
- On h-antimagicness of disconnected graphs
- Creator
- Bača, Martin; Miller, Mirka; Ryan, Joe; Semaničová-Feňovčíková, Andrea
- Relation
- Bulletin of the Australian Mathematical Society Vol. 94, Issue 2, p. 201-207
- Publisher Link
- http://dx.doi.org/10.1017/S0004972716000204
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2016
- Description
- A simple graph G = (V; E) admits an H-covering if every edge in E belongs to at least one subgraph of G isomorphic to a given graph H. Then the graph G is (a, d)-H-antimagic if there exists a bijection f : V ∪ E → {1, 2,..., ⏐V⏐ + ⏐E⏐} such that, for all subgraphs H' of G isomorphic to H, the H-weights, wtf(H') = Σv∈(H') f(v)+Σe∈(H') f(e) form an arithmetic progression with the initial term a and the common difference d. When f(V) = {1, 2,...,⏐V⏐}, then G is said to be super (a, d)-H-antimagic. In this paper, we study super (a, d)-H-antimagic labellings of a disjoint union of graphs for d = ⏐E(H)⏐ - ⏐V(H)⏐.
- Subject
- H-covering; (super) (a; d)-H-antimagic labelling; union of graphs
- Identifier
- http://hdl.handle.net/1959.13/1339541
- Identifier
- uon:28279
- Identifier
- ISSN:0004-9727
- Language
- eng
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