Results 11 to 20 of about 285,444 (268)
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Zang, W, Ding, G
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-super antimagic total labeling of comb product of graphs
Let and be two simple, nontrivial and undirected graphs. Let be a vertex of , the comb product between and , denoted by , is a graph obtained by taking one copy of and copies of and grafting the th copy of at the vertex to the th vertex of .
Ika Hesti Agustin +2 more
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The maximum cardinality of an induced $2$-regular subgraph of a graph $G$ is denoted by $c_{\rm ind}(G)$. We prove that if $G$ is an $r$-regular graph of order $n$, then $c_{\rm ind}(G) \geq \frac{n}{2(r-1)} + \frac{1}{(r-1)(r-2)}$ and we prove that if $G$ is a cubic claw-free graph on order $n$, then $c_{\rm ind}(G) > 13n/20$ and this bound is ...
Michael A. Henning +3 more
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DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB
Research on the local adjacency metric dimension has not been found in all operations of the graph, one of them is comb product graph. The purpose of this research was to determine the local adjacency metric dimension of k-comb product graph and level ...
Fryda Arum Pratama +2 more
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Vertices with the second neighborhood property in Eulerian digraphs [PDF]
The Second Neighborhood Conjecture states that every simple digraph has a vertex whose second out-neighborhood is at least as large as its first out-neighborhood, i.e. a vertex with the Second Neighborhood Property.
Michael Cary
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A Note Concerning Hamilton Cycles in Some Classes of Grid Graphs
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertices. Deciding whether a given graph has a Hamilton cycle is an NP-complete problem. But, it is a polynomial problem within some special graph classes.
A. N.M. Salman +2 more
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Lou Caccetta, K. Vijayan
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Minimal unavoidable sets of cycles in plane graphs [PDF]
A set \(S\) of cycles is minimal unavoidable in a graph family \(\cal{G}\) if each graph \(G \in \cal{G}\) contains a cycle from \(S\) and, for each proper subset \(S^{\prime}\subset S\), there exists an infinite subfamily \(\cal{G}^{\prime}\subseteq\cal{
Tomáš Madaras, Martina Tamášová
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Rainbow Cycles in Flip Graphs [PDF]
The flip graph of triangulations has as vertices all triangulations of a convex $n$-gon, and an edge between any two triangulations that differ in exactly one edge. An $r$-rainbow cycle in this graph is a cycle in which every inner edge of the triangulation appears exactly $r$ times. This notion of a rainbow cycle extends in a natural way to other flip
Stefan Felsner +3 more
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Geodesic bipancyclicity of the Cartesian product of graphs
A cycle containing a shortest path between two vertices $u$ and $v$ in a graph $G$ is called a $(u,v)$-geodesic cycle. A connected graph $G$ is geodesic 2-bipancyclic, if every pair of vertices $u,v$ of it is contained in a $(u,v)$-geodesic cycle of ...
Amruta Shinde, Y.M. Borse
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