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Tytuł:
“CRAWL.PL” Measuring Statistical and Structural Properties of the Polish Web : Technical Report
Autorzy:
Castillo, C.
Starosta, B.
Sydow, M.
Powiązania:
https://bibliotekanauki.pl/articles/92889.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Przyrodniczo-Humanistyczny w Siedlcach
Tematy:
web crawling
web graph
Page rank
Polish Web
Opis:
This document summarizes the results of an experiment made in the Polish-Japanese Institute of Information Technology, Warsaw, Poland during autumn 2005 and winter 2006. The goal of the project was to collect and analyze large portion of Polish Web documents in order to characterize the structure and other properties of the „.pl” domain. Up to the knowledge of the authors, it was the first publicly reported research experiment of this kind over the Polish Web. The following sections include information about downloaded Web pages, Web sites, and their characteristics. We also present various statistics concerning hosts and domains, as well as the link structure. Among the results of the experiment are the first data sets representing graphs of the Polish Web which will be publicly available for other researchers.
Źródło:
Studia Informatica : systems and information technology; 2007, 1(8); 43-73
1731-2264
Pojawia się w:
Studia Informatica : systems and information technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
α2-labeling of graphs
Autorzy:
Froncek, D.
Powiązania:
https://bibliotekanauki.pl/articles/255852.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
graph decomposition
graph labeling
Opis:
We show that if a graph G on n edges allows certain special type of rosy labeling (a.k.a. rho;-labeling), called α2-labeling, then for any positive integer k the complete graph K2nk+1 can be decomposed into copies of G. This notion generalizes the α-labeling introduced in 1967 by A. Rosa.
Źródło:
Opuscula Mathematica; 2009, 29, 4; 393-397
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Π(G,x) polynomial and (G) index of Armchair Polyhex Nanotubes TUAC6 [m,n]
Autorzy:
Farahani, M. R.
Powiązania:
https://bibliotekanauki.pl/articles/412239.pdf
Data publikacji:
2014
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Molecular Graph
Armchair Polyhex Nanotubes and Nanotori
Omega polynomial
Pi polynomial
Pi index
Opis:
Let G be a simple connected graph with the vertex set V = V(G) and the edge set E = E(G), without loops and multiple edges. For counting qoc strips in G, Omega polynomial was introduced by Diudea and was defined as Ω(G,x ) = [wzór] where m(G,c) be the number of qoc strips of length c in the graph G. Following Omega polynomial, the Sadhana polynomial was defined by Ashrafi et al as Sd(G,x) = [wzór]. In this paper we compute the Pi polynomial Π(G,x) =[wzór] and Pi index Π(G ) = [wzór] of an infinite class of “Armchair Polyhex Nanotubes TUAC 6 [m,n]”.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2014, 17, 2; 201-206
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
1-factors and characterization of reducible faces of plane elementary bipartite graphs
Autorzy:
Taranenko, Andrej
Vesel, Aleksander
Powiązania:
https://bibliotekanauki.pl/articles/743201.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
plane elementary bipartite graph
reducible face
perfect matching
1-factor
benzenoid graph
Opis:
As a general case of molecular graphs of benzenoid hydrocarbons, we study plane bipartite graphs with Kekulé structures (1-factors). A bipartite graph G is called elementary if G is connected and every edge belongs to a 1-factor of G. Some properties of the minimal and the maximal 1-factor of a plane elementary graph are given.
A peripheral face f of a plane elementary graph is reducible, if the removal of the internal vertices and edges of the path that is the intersection of f and the outer cycle of G results in an elementary graph. We characterize the reducible faces of a plane elementary bipartite graph. This result generalizes the characterization of reducible faces of an elementary benzenoid graph.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 289-297
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
1-Restricted Optimal Rubbling on Graphs
Autorzy:
Beeler, Robert A.
Haynes, Teresa W.
Murphy, Kyle
Powiązania:
https://bibliotekanauki.pl/articles/31343383.pdf
Data publikacji:
2019-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph pebbling
graph rubbling
optimal rubbling
t -restricted optimal pebbling
Opis:
Let G be a graph with vertex set V and a distribution of pebbles on the vertices of V. A pebbling move consists of removing two pebbles from a vertex and placing one pebble on a neighboring vertex, and a rubbling move consists of removing a pebble from each of two neighbors of a vertex v and placing a pebble on v. We seek an initial placement of a minimum total number of pebbles on the vertices in V, so that no vertex receives more than one pebble and for any given vertex v ∈ V, it is possible, by a sequence of pebbling and rubbling moves, to move at least one pebble to v. This minimum number of pebbles is the 1-restricted optimal rubbling number. We determine the 1-restricted optimal rubbling numbers for Cartesian products. We also present bounds on the 1-restricted optimal rubbling number.
Źródło:
Discussiones Mathematicae Graph Theory; 2019, 39, 2; 575-588
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2-biplacement without fixed points of (p, q)-bipartite graphs
Autorzy:
Orchel, B.
Powiązania:
https://bibliotekanauki.pl/articles/255209.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
bipartite graph
packing
embedding
Opis:
In this paper we consider 2-biplacement without fixed points of paths and (p, q)--bipartite graphs of small size. We give all (p, q)-bipartite graphs G of size q for which the set S*(G) of all 2-biplacements of G without fixed points is empty.
Źródło:
Opuscula Mathematica; 2005, 25, 2; 269-274
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2-distance 4-colorability of planar subcubic graphs with girth at least 22
Autorzy:
Borodin, Oleg
Ivanova, Anna
Powiązania:
https://bibliotekanauki.pl/articles/743713.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
planar graph
subcubic graph
2-distance coloring
Opis:
The trivial lower bound for the 2-distance chromatic number χ₂(G) of any graph G with maximum degree Δ is Δ+1. It is known that χ₂ = Δ+1 if the girth g of G is at least 7 and Δ is large enough. There are graphs with arbitrarily large Δ and g ≤ 6 having χ₂(G) ≥ Δ+2. We prove the 2-distance 4-colorability of planar subcubic graphs with g ≥ 22.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 1; 141-151
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2-Distance Colorings of Integer Distance Graphs
Autorzy:
Benmedjdoub, Brahim
Bouchemakh, Isma
Sopena, Éric
Powiązania:
https://bibliotekanauki.pl/articles/31343379.pdf
Data publikacji:
2019-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
2-distance coloring
integer distance graph
Opis:
A 2-distance k-coloring of a graph G is a mapping from V (G) to the set of colors {1,. . ., k} such that every two vertices at distance at most 2 receive distinct colors. The 2-distance chromatic number χ2(G) of G is then the smallest k for which G admits a 2-distance k-coloring. For any finite set of positive integers D = {d1, . . ., d}, the integer distance graph G = G(D) is the infinite graph defined by V (G) = ℤ and uv ∈ E(G) if and only if |v − u| ∈ D. We study the 2-distance chromatic number of integer distance graphs for several types of sets D. In each case, we provide exact values or upper bounds on this parameter and characterize those graphs G(D) with χ2(G(D)) = ∆(G(D)) + 1.
Źródło:
Discussiones Mathematicae Graph Theory; 2019, 39, 2; 589-603
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2-halvable complete 4-partite graphs
Autorzy:
Fronček, Dalibor
Powiązania:
https://bibliotekanauki.pl/articles/744231.pdf
Data publikacji:
1998
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Graph decompositions
isomorphic factors
selfcomplementary graphs
Opis:
A complete 4-partite graph $K_{m₁,m₂,m₃,m₄}$ is called d-halvable if it can be decomposed into two isomorphic factors of diameter d. In the class of graphs $K_{m₁,m₂,m₃,m₄}$ with at most one odd part all d-halvable graphs are known. In the class of biregular graphs $K_{m₁,m₂,m₃,m₄}$ with four odd parts (i.e., the graphs $K_{m,m,m,n}$ and $K_{m,m,n,n}$) all d-halvable graphs are known as well, except for the graphs $K_{m,m,n,n}$ when d = 2 and n ≠ m. We prove that such graphs are 2-halvable iff n,m ≥ 3. We also determine a new class of non-halvable graphs $K_{m₁,m₂,m₃,m₄}$ with three or four different odd parts.
Źródło:
Discussiones Mathematicae Graph Theory; 1998, 18, 2; 233-242
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2-placement of (p,q)-trees
Autorzy:
Orchel, Beata
Powiązania:
https://bibliotekanauki.pl/articles/743376.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
tree
bipartite graph
packing graph
Opis:
Let G = (L,R;E) be a bipartite graph such that V(G) = L∪R, |L| = p and |R| = q. G is called (p,q)-tree if G is connected and |E(G)| = p+q-1.
Let G = (L,R;E) and H = (L',R';E') be two (p,q)-tree. A bijection f:L ∪ R → L' ∪ R' is said to be a biplacement of G and H if f(L) = L' and f(x)f(y) ∉ E' for every edge xy of G. A biplacement of G and its copy is called 2-placement of G. A bipartite graph G is 2-placeable if G has a 2-placement. In this paper we give all (p,q)-trees which are not 2-placeable.
Źródło:
Discussiones Mathematicae Graph Theory; 2003, 23, 1; 23-36
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2-Spanning Cyclability Problems of Some Generalized Petersen Graphs
Autorzy:
Yang, Meng-Chien
Hsu, Lih-Hsing
Hung, Chun-Nan
Cheng, Eddie
Powiązania:
https://bibliotekanauki.pl/articles/31348327.pdf
Data publikacji:
2020-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Petersen graph
spanning cyclable
Opis:
A graph G is called r-spanning cyclable if for every r distinct vertices v1, v2, . . ., vr of G, there exists r cycles C1, C2, . . ., Cr in G such that vi is on Ci for every i, and every vertex of G is on exactly one cycle Ci. In this paper, we consider the 2-spanning cyclable problem for the generalized Petersen graph GP (n, k). We solved the problem for k ≤ 4. In addition, we provide an additional observation for general k as well as stating a conjecture.
Źródło:
Discussiones Mathematicae Graph Theory; 2020, 40, 3; 713-731
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
3-biplacement of bipartite graphs
Autorzy:
Adamus, L.
Leśniak, E.
Orchel, B.
Powiązania:
https://bibliotekanauki.pl/articles/255067.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
bipartite graph
packing of graphs
placement
biplacement
Opis:
Let G = (L,R;E) be a bipartite graph with color classes L and R and edge set E. A set of two bijections {φ1, φ2}, φ1, φ2 : L ∪ R → L ∪ R, is said to be a 3-biplacement of G if [formula], where φ*/1, φ*/2 are the maps defined on E, induced by φ1, φ2, respectively. We prove that if ‌L‌ = p, ‌R‌ = q, 3 ≤ p ≤ q, then every graph G = (L, R; E) of size at most p has a 3-biplacement.
Źródło:
Opuscula Mathematica; 2008, 28, 3; 223-231
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
3-consecutive c-colorings of graphs
Autorzy:
Bujtás, Csilla
Sampathkumar, E.
Tuza, Zsolt
Subramanya, M.
Dominic, Charles
Powiązania:
https://bibliotekanauki.pl/articles/744032.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph coloring
vertex coloring
consecutive coloring
upper chromatic number
Opis:
A 3-consecutive C-coloring of a graph G = (V,E) is a mapping φ:V → ℕ such that every path on three vertices has at most two colors. We prove general estimates on the maximum number $(χ̅)_{3CC}(G)$ of colors in a 3-consecutive C-coloring of G, and characterize the structure of connected graphs with $(χ̅)_{3CC}(G) ≥ k$ for k = 3 and k = 4.
Źródło:
Discussiones Mathematicae Graph Theory; 2010, 30, 3; 393-405
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
3-Tuple Total Domination Number of Rook’s Graphs
Autorzy:
Pahlavsay, Behnaz
Palezzato, Elisa
Torielli, Michele
Powiązania:
https://bibliotekanauki.pl/articles/32361755.pdf
Data publikacji:
2022-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
k -tuple total domination
Cartesian product of graphs
rook’s graph
Vizing’s conjecture
Opis:
A k-tuple total dominating set (kTDS) of a graph G is a set S of vertices in which every vertex in G is adjacent to at least k vertices in S. The minimum size of a kTDS is called the k-tuple total dominating number and it is denoted by γ×k,t(G). We give a constructive proof of a general formula for γ×3,t(Kn□Km).
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 1; 15-37
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
4-chromatic Koester graphs
Autorzy:
Dobrynin, Andrey
Mel'nikov, Leonid
Powiązania:
https://bibliotekanauki.pl/articles/743274.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
planar graph
4-critical graph
Grötzsch-Sachs graph
Koester graph
Opis:
Let G be a simple 4-regular plane graph and let S be a decomposition of G into edge-disjoint cycles. Suppose that every two adjacent edges on a face belong to different cycles of S. Such a graph G arises as a superposition of simple closed curves in the plane with tangencies disallowed. Studies of coloring of graphs of this kind were originated by Grötzsch. Two 4-chromatic graphs generated by circles in the plane were constructed by Koester in 1984 [10,11,12]. Until now, no other examples of such graphs were known. We present fourteen new 4-chromatic graphs generated by circles in the plane.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 4; 617-627
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł

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