Search Results - "Odabasi, Ugur"
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Uniformly Resolvable Cycle Decompositions with Four Different Factors
Published in Graphs and combinatorics (01-11-2017)“…In this paper, we consider uniformly resolvable decompositions of complete graph K v (or K v minus a 1-factor I for even v ) into cycles. We will focus on the…”
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The integer-antimagic spectra of Hamiltonian graphs
Published in Electronic journal of graph theory and applications (01-01-2021)“…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 ∖ {0A} such that…”
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3
Decompositions of complete symmetric directed graphs into the oriented heptagons
Published in Turkish journal of mathematics (01-01-2021)Get full text
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The λ-Fold Spectrum Problem for the Orientations of the Eight-Cycle
Published in Symmetry (Basel) (01-10-2023)“…A D-decomposition of a graph (or digraph) G is a partition of the edge set (or arc set) of G into subsets, where each subset induces a copy of the fixed graph…”
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5
The directed uniform Hamilton-Waterloo Problem involving even cycle sizes
Published in Discussiones Mathematicae. Graph Theory (20-06-2024)Get full text
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The integer-antimagic spectra of a disjoint union of Hamiltonian graphs
Published in Turkish journal of mathematics (01-01-2022)Get full text
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The Spectrum Problem for the Connected Cubic Graphs of Order 10
Published in Discussiones Mathematicae. Graph Theory (01-11-2021)“…We show that if is a connected cubic graph of order 10, then there exists a -decomposition of if and only if ≣ 1 or 10 (mod 15) except when = 10 and is one of…”
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The Iλ/I-Fold Spectrum Problem for the Orientations of the Eight-Cycle
Published in Symmetry (Basel) (01-10-2023)“…A D-decomposition of a graph (or digraph) G is a partition of the edge set (or arc set) of G into subsets, where each subset induces a copy of the fixed graph…”
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The Hamilton–Waterloo Problem with C 4 and C m factors
Published in Discrete mathematics (01-01-2016)Get full text
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The Hamilton–Waterloo Problem with C4 and Cm factors
Published in Discrete mathematics (06-01-2016)“…The Hamilton–Waterloo problem with uniform cycle sizes asks for a 2-factorization of the complete graph Kv (for odd v) or Kv minus a 1-factor (for even v)…”
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Decompositions of Complete Symmetric Directed Graphs into the Oriented Heptagons
Published 24-03-2020“…The complete symmetric directed graph of order $v$, denoted $K_{v}^*$, is the directed graph on $v$ vertices that contains both arcs $(x,y)$ and $(y,x)$ for…”
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The Directed Uniform Hamilton-Waterloo Problem Involving Even Cycle Sizes
Published 21-06-2023“…In this paper, factorizations of the complete symmetric digraph $K_v^*$ into uniform factors consisting of directed even cycle factors are studied as a…”
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On the Directed Hamilton-Waterloo Problem with Two Cycle Sizes
Published 29-09-2022“…The Directed Hamilton-Waterloo Problem asks for a directed $2$-factorization of the complete symmetric digraph $K_v^*$ where there are two non-isomorphic…”
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The Hamilton-Waterloo Problem with $C_4$ and $C_m$ Factors
Published 29-05-2015“…The Hamilton-Waterloo problem with uniform cycle sizes asks for a $2-$ factorization of the complete graph $K_v$ (for odd {\em v}) or $K_v$ minus a $1-$factor…”
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