Results 11 to 20 of about 285,444 (268)

Packing Cycles in Graphs

open access: yesJournal of Combinatorial Theory, Series B, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zang, W, Ding, G
openaire   +4 more sources

-super antimagic total labeling of comb product of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
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
doaj   +1 more source

Induced Cycles in Graphs

open access: yesGraphs and Combinatorics, 2016
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
openaire   +3 more sources

DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB

open access: yesContemporary Mathematics and Applications (ConMathA), 2019
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
doaj   +1 more source

Vertices with the second neighborhood property in Eulerian digraphs [PDF]

open access: yesOpuscula Mathematica, 2019
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
doaj   +1 more source

A Note Concerning Hamilton Cycles in Some Classes of Grid Graphs

open access: yesJournal of Mathematical and Fundamental Sciences, 2013
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
doaj   +1 more source

Maximal cycles in graphs

open access: yesDiscrete Mathematics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lou Caccetta, K. Vijayan
openaire   +1 more source

Minimal unavoidable sets of cycles in plane graphs [PDF]

open access: yesOpuscula Mathematica, 2018
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
doaj   +1 more source

Rainbow Cycles in Flip Graphs [PDF]

open access: yesSIAM Journal on Discrete Mathematics, 2020
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
openaire   +6 more sources

Geodesic bipancyclicity of the Cartesian product of graphs

open access: yesTheory and Applications of Graphs, 2022
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
doaj   +1 more source

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