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Wyszukujesz frazę "permutation graph" wg kryterium: Temat


Wyświetlanie 1-9 z 9
Tytuł:
On Lees conjecture and some results
Autorzy:
Fan, Lixia
Liang, Zhihe
Powiązania:
https://bibliotekanauki.pl/articles/744426.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
permutation graph
graceful, Lee's conjecture
Opis:
S.M. Lee proposed the conjecture: for any n > 1 and any permutation f in S(n), the permutation graph P(Pₙ,f) is graceful. For any integer n > 1 and permutation f in S(n), we discuss the gracefulness of the permutation graph P(Pₙ,f) if $f = ∏_{k = 0}^{l-1} (m+2k, m+2k+1)$, and $∏_{k=0}^{l-1} (m+4k,m+4k+2)(m+4k+1,m+4k+3)$ for any positive integers m and l.
Źródło:
Discussiones Mathematicae Graph Theory; 2009, 29, 3; 481-498
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Edge-disjoint paths in permutation graphs
Autorzy:
Gopalakrishnan, C.
Pandu Rangan, C.
Powiązania:
https://bibliotekanauki.pl/articles/971918.pdf
Data publikacji:
1995
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
algorithm
bridge
connectivity
disjoint paths
permutation graph
Opis:
In this paper we consider the following problem. Given an undirected graph G = (V,E) and vertices s₁,t₁;s₂,t₂, the problem is to determine whether or not G admits two edge-disjoint paths P₁ and P₂ connecting s₁ with t₁ and s₂ with t₂, respectively. We give a linear (O(|V|+|E|)) algorithm to solve this problem on a permutation graph.
Źródło:
Discussiones Mathematicae Graph Theory; 1995, 15, 1; 59-72
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A linear algorithm for the two paths problem on permutation graphs
Autorzy:
Gopalakrishnan, C.
Pandu Rangan, C.
Powiązania:
https://bibliotekanauki.pl/articles/972048.pdf
Data publikacji:
1995
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
algorithm
bridge
connectivity
disjoint paths
permutation graph
two paths problem
Opis:
The 'two paths problem' is stated as follows. Given an undirected graph G = (V,E) and vertices s₁,t₁;s₂,t₂, the problem is to determine whether or not G admits two vertex-disjoint paths P₁ and P₂ connecting s₁ with t₁ and s₂ with t₂ respectively. In this paper we give a linear (O(|V|+ |E|)) algorithm to solve the above problem on a permutation graph.
Źródło:
Discussiones Mathematicae Graph Theory; 1995, 15, 2; 147-166
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Permutation, no-wait, no-idle flow shop problems
Autorzy:
Makuchowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/229973.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
flow shop problem
permutation constraint
no-wait constraint
no-idle constraint
permutation-graph models
Opis:
The paper compares the schedules of different variants of the flow shop problem, i.e. permutation, no waiting and no idle flow shop problems. It is assessed the impact of the constraints on the extension of the schedules and correlations of the length of the schedules for these variants. It is also examined the effectiveness of a set of insert type algorithms. The efficiency of the algorithms is tested on well-known literature benchmarks.
Źródło:
Archives of Control Sciences; 2015, 25, 2; 189-199
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Coverings of Cubic Graphs and 3-Edge Colorability
Autorzy:
Plachta, Leonid
Powiązania:
https://bibliotekanauki.pl/articles/32083839.pdf
Data publikacji:
2021-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
uncolorable cubic graph
covering of graphs
voltage permutation graph
resistance
nowhere-zero 4-flow
Opis:
Let \(h:\tilde{G}→G\) be a finite covering of 2-connected cubic (multi)graphs where G is 3-edge uncolorable. In this paper, we describe conditions under which \(\tilde{G}\) is 3-edge uncolorable. As particular cases, we have constructed regular and irregular 5-fold coverings \(f:\tilde{G}→G\) of uncolorable cyclically 4-edge connected cubic graphs and an irregular 5-fold covering \(g:\tilde{H}→H\) of uncolorable cyclically 6-edge connected cubic graphs. In [13], Steffen introduced the resistance of a subcubic graph, a characteristic that measures how far is this graph from being 3-edge colorable. In this paper, we also study the relation between the resistance of the base cubic graph and the covering cubic graph.
Źródło:
Discussiones Mathematicae Graph Theory; 2021, 41, 1; 311-334
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the crossing numbers of join products of five graphs of order six with the discrete graph
Autorzy:
Stas, Michal
Powiązania:
https://bibliotekanauki.pl/articles/952808.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
graph
drawing
crossing number
join product
cyclic permutation
Opis:
The main purpose of this article is broaden known results concerning crossing numbers for join of graphs of order six. We give the crossing number of the join product G* + Dn, where the disconnected graph G* of order six consists of one isolated vertex and of one edge joining two nonadjacent vertices of the 5-cycle. In our proof, the idea of cyclic permutations and their combinatorial properties will be used. Finally, by adding new edges to the graph G*, the crossing numbers of Gi + Dn for four other graphs Gi of order six will be also established
Źródło:
Opuscula Mathematica; 2020, 40, 3; 383-397
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The crossing numbers of join products of paths with three graphs of order five
Autorzy:
Staš, Michal
Švecová, Mária
Powiązania:
https://bibliotekanauki.pl/articles/2216156.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
graph
crossing number
join product
cyclic permutation
path
Opis:
The main aim of this paper is to give the crossing number of the join product $G^∗ + P_n$ for the disconnected graph $G^$∗ of order five consisting of the complete graph $K_4$ and one isolated vertex, where $P_n$ is the path on n vertices. The proofs are done with the help of a lot of well-known exact values for the crossing numbers of the join products of subgraphs of the graph $G^∗$ with the paths. Finally, by adding new edges to the graph $G^∗$, we are able to obtain the crossing numbers of the join products of two other graphs with the path $P_n$.
Źródło:
Opuscula Mathematica; 2022, 42, 4; 635-651
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cyclic Permutations in Determining Crossing Numbers
Autorzy:
Klešč, Marián
Staš, Michal
Powiązania:
https://bibliotekanauki.pl/articles/32222545.pdf
Data publikacji:
2022-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph
drawing
crossing number
join product
cyclic permutation
Opis:
The crossing number of a graph G is the minimum number of edge crossings over all drawings of G in the plane. Recently, the crossing numbers of join products of two graphs have been studied. In the paper, we extend know results concerning crossing numbers of join products of small graphs with discrete graphs. The crossing number of the join product G*+ Dn for the disconnected graph G* consisting of five vertices and of three edges incident with the same vertex is given. Up to now, the crossing numbers of G + Dn were done only for connected graphs G. In the paper also the crossing numbers of G*+ Pn and G* + Cn are given. The paper concludes by giving the crossing numbers of the graphs H + Dn, H + Pn, and H + Cn for four different graphs H with |E(H)| ≤ |V (H)|. The methods used in the paper are new. They are based on combinatorial properties of cyclic permutations.
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 4; 1163-1183
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the crossing numbers of join products of $W_4 + P_n$ and $W_4 + C_n$
Autorzy:
Stas, Michal
Valiska, Juraj
Powiązania:
https://bibliotekanauki.pl/articles/1397319.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
graph
crossing number
join product
cyclic permutation
path
cycle
Opis:
The crossing number cr(G) of a graph G is the minimum number of edge crossings over all drawings of G in the plane. The main aim of the paper is to give the crossing number of the join product $W_4 + P_n$ and $W_4 + C_n$ for the wheel $W_4$ on five vertices, where $P_n$ and $C_n$ are the path and the cycle on n vertices, respectively. Yue et al. conjectured that the crossing number of $W_m + C_n$ is equal to $Z(m+1)Z(n)+(Z(m)-1)[n/2]+n+[m/2]+2$, for all m,n ≥ 3, and where the Zarankiewicz’s number $Z(n)=[n/2][{n-1}/2]$ is defined for n ≥ 1. Recently, this conjecture was proved for $W_3 + C_n$ by Klesc. We establish the validity of this conjecture for $W_4 + C_n$ and we also offer a new conjecture for the crossing number of the join product $W_m + P_n$ for m ≥ 3 and n ≥ 2.
Źródło:
Opuscula Mathematica; 2021, 41, 1; 95-112
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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