Results 51 to 60 of about 280 (99)
Enumeration of Triangles in a Divisor Cayley Graph [PDF]
In this paper a new class of arithmetic Cayley graphs, namely, divisor Cayley graphs associated with the divisor function d ƒvnƒw , n „d1,an integer is introduced. It is shown that this graph is regular, hamiltonian, connected and not bipartite, and when
Madhavi, L +2 more
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Snarks, Hypohamiltonian Graphs and Non-Supereulerian Graphs
A graph G is hypohamiltonian if it is not Hamiltonian but for each v∈V(G)v∈V(G), the graph G−vG−v is Hamiltonian. A graph is supereulerian if it has a spanning Eulerian subgraph.
Chen, Zhi-Hong
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EULERIAN SUBGRAPHS in 3-Edge-Connected Graps AND HAMILTONIAN LINE GRAPHS
In this paper, we show that if G is a 3-edge-connected graph with S V ðGÞ and jSj 12, then either G has an Eulerian subgraph H such that S V ðHÞ,orG can be contracted to the Petersen graph in such a way that the preimage of each vertex of the Petersen ...
Deying Li +4 more
core
Spanning Closed Trail and Hamiltonian Cycle in Grid Graphs
. In this paper we study a trail routing and a hamiltonian cycle in a class of grid graphs, polycube and polymino. A Spanning closed trail is an eulerian subgraph containing all vertices of a given graph. For general grid graphs we prove that the problem
Alexander Zelikovsky, Hwan-gue Cho
core
The flower conjecture in special classes of graphs [PDF]
We say that a spanning eulerian subgraph F ⊂ G is a flower in a graph G if there is a vertex u ∈ V(G) (called the center of F) such that all vertices of G except u are of the degree exactly 2 in F.
Ryjáček, Zdeněk, Schiermeyer, Ingo
core
ทฤษฎีกราฟเบื้องต้นและการประยุกต์ [PDF]
บทคัดย่อในบทความวิชาการฉบับนี้ได้อภิปรายถึงปัญหาคลาสสิกที่น่าสนใจ 3 ปัญหาในทฤษฎีกราฟได้แก่ปัญหาการจับมือทักทายในงานเลี้ยงปัญหาการเดินข้ามสะพานทั้งเจ็ดแห่งเมืองเคอนิกส์แบร์ก และปัญหาการหาวงแฮมิลตันและรอยเดินออยเลอร์ในกราฟ การหาคำตอบของทั้งสามปัญหาอาศ ...
มะกาเจ, นิฟาตมะห์; ภาควิชาคณิตศาสตร์และวิทยาการคอมพิวเตอร์ คณะวิทยาศาสตร์และเทคโนโลยี มหาวิทยาลัยสงขลานครินทร์ วิทยาเขตปัตตานี และนักวิจัย กองทุนวิจัยวิทยาเขตปัตตานี มหาวิทยาลัยสงขลานครินทร์ วิทยาเขตปัตตานี +1 more
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Alguns tipos de grafos e aplicações [PDF]
Orientador: Prof. Dr. Marcos André VerdiDissertação (mestrado em Matemática)--Universidade Estadual de Maringá, Dep. de Matemática, Programa de Mestrado Profissional em Matemática em Rede Nacional, 2022Neste trabalho apresentamos a parte introdutória da ...
Burguetti, Renata
core
The power of programmed grammars with graphs from various classes
Programmed grammars, one of the most important and well investigated classes of grammars with context-free rules and a mechanism controlling the application of the rules, can be described by graphs.
Liu, Guangwu +8 more
core +1 more source
Depends TSP, gtools,graph,methods Suggests License GPL-2 Repository CRAN
Description Eulerian tours and Hamiltonian decompositions of complete graphs are used to amelio-rate order effects in statistical ...
C. B. Hurley +3 more
core
Intersection graphs of ideals of rings
In this paper, we consider the intersection graph G(R) of nontrivial left ideals of a ring R. We characterize the rings R for which the graph G(R) is connected and obtain several necessary and sufficient conditions on a ring R such that G(R) is complete.
Ghosh, Shamik +3 more
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