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Wyświetlanie 1-5 z 5
Tytuł:
A Spectral Characterization of the S-Clique Extension of the Triangular Graphs
Autorzy:
Tan, Ying-Ying
Koolen, Jack H.
Xia, Zheng-Jiang
Powiązania:
https://bibliotekanauki.pl/articles/31564711.pdf
Data publikacji:
2020-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
co-edge-regular graph
triangular graph
s-clique extension
Opis:
A regular graph is co-edge regular if there exists a constant µ such that any two distinct and non-adjacent vertices have exactly µ common neighbors. In this paper, we show that for integers s ≥ 2 and n large enough, any co-edge-regular graph which is cospectral with the s-clique extension of the triangular graph T (n) is exactly the s-clique extension of the triangular graph T (n).
Źródło:
Discussiones Mathematicae Graph Theory; 2020, 40, 2; 663-676
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order triangular graceful graphs
Autorzy:
Sakthi Sankari, R.
Syed Ali Nisaya, M. P.
Powiązania:
https://bibliotekanauki.pl/articles/1193377.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Second order triangular graceful graph
Second order triangular graceful labeling
Second order triangular number
Opis:
Let G=(V,E) be a graph with p vertices and q edges. A second order triangular graceful labeling of a graph G is an one to one function φ:V(G)→{0,1,2,…,B_q} where B_q is the qth second order triangular number, ie., B_q=1/6 q(q+1)(2q+1), that induces a bijection φ^*:E(G)→{B_1,B_2,…,B_q} of the edges of G defined by φ^* (uv) =|φ(u)-φ(v)| ∀ e=uv ∈E(G). A graph which admits such labeling is called a second order triangular graceful graph. In this paper, we introduce second order triangular graceful labeling and we prove that star, subdivision of star, nK_1,3, nK_2, bistar, path, comb, coconut tree, shrub and Y-tree are second order triangular graceful graphs.
Źródło:
World Scientific News; 2021, 155; 140-154
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Limit Conjecture on the Number of Hamiltonian Cycles on Thin Triangular Grid Cylinder Graphs
Autorzy:
Bodroža-Pantić, Olga
Kwong, Harris
Doroslovački, Rade
Pantić, Milan
Powiązania:
https://bibliotekanauki.pl/articles/31342332.pdf
Data publikacji:
2018-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
contractible Hamiltonian cycles
generating functions
thin triangular grid cylinder graph
Opis:
We continue our research in the enumeration of Hamiltonian cycles (HCs) on thin cylinder grid graphs Cm × Pn+1 by studying a triangular variant of the problem. There are two types of HCs, distinguished by whether they wrap around the cylinder. Using two characterizations of these HCs, we prove that, for fixed m, the number of HCs of both types satisfy some linear recurrence relations. For small m, computational results reveal that the two numbers are asymptotically the same. We conjecture that this is true for all m ≥ 2.
Źródło:
Discussiones Mathematicae Graph Theory; 2018, 38, 2; 405-427
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Higher order triangular graceful labeling of some graphs
Autorzy:
Sakthi Sankari, R.
Syed Ali Nisaya, M. P.
Powiązania:
https://bibliotekanauki.pl/articles/1193398.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
fifth order
fifth order triangular graceful graph
fifth order triangular graceful labeling
fifth order triangular numbers
fourth order
third order
Opis:
A (p, q) graph G is said to admit higher order triangular graceful labeling if its vertices can be labeled by the integers from 0 to qth higher order triangular numbers such that the induced edge labels obtained by the absolute difference of the labels of end vertices are the first q higher order triangular numbers. A graph G which admits higher order triangular graceful labeling is called a higher order triangular graceful graph. In this paper, third order, fourth order, fifth order triangular graceful labeling are introduced and third order, fourth order, fifth order triangular graceful labeling of star graph, subdivision of star, nK_2, path, comb, bistar, coconut tree, nK_1,3 are studied.
Źródło:
World Scientific News; 2021, 156; 40-61
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Edge H-Irregularity Strengths of Some Graphs
Autorzy:
Naeem, Muhammad
Siddiqui, Muhammad Kamran
Bača, Martin
Semaničová-Feňovčíková, Andrea
Ashraf, Faraha
Powiązania:
https://bibliotekanauki.pl/articles/32225869.pdf
Data publikacji:
2021-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
prism
antiprism
triangular ladder
diagonal ladder
wheel
gear graph
H-irregular edge labeling
edge H-irregularity strength
Opis:
For a graph G an edge-covering of G is a family of subgraphs H1, H2, . . ., Ht such that each edge of E(G) belongs to at least one of the subgraphs Hi, i = 1, 2, . . ., t. In this case we say that G admits an (H1, H2, . . ., Ht)-(edge) covering. An H-covering of graph G is an (H1, H2, . . ., Ht)-(edge) covering in which every subgraph Hi is isomorphic to a given graph H. Let G be a graph admitting H-covering. An edge k-labeling α : E(G) → {1, 2, . . ., k} is called an H-irregular edge k-labeling of the graph G if for every two different subgraphs H′ and H′′ isomorphic to H their weights wtα(H′) and wtα(H′″) are distinct. The weight of a subgraph H under an edge k-labeling is the sum of labels of edges belonging to H. The edge H-irregularity strength of a graph G, denoted by ehs(G, H), is the smallest integer k such that G has an H-irregular edge k-labeling. In this paper we determine the exact values of ehs(G, H) for prisms, antiprisms, triangular ladders, diagonal ladders, wheels and gear graphs. Moreover the subgraph H is isomorphic to only C4, C3 and K4.
Źródło:
Discussiones Mathematicae Graph Theory; 2021, 41, 4; 949-961
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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