Results 51 to 60 of about 357,448 (292)
On the structure of random graphs with constant $r$-balls [PDF]
We continue the study of the properties of graphs in which the ball of radius $r$ around each vertex induces a graph isomorphic to the ball of radius $r$ in some fixed vertex-transitive graph $F$, for various choices of $F$ and $r$.
Benjamini, Itai, Ellis, David
core +2 more sources
The crossing numbers of products of a 5-vertex graph with paths and cycles
There are several known exact results on the crossing numbers of Cartesian products of paths, cycles or stars with “small” graphs. Let H be the 5-vertex graph defined from K5 by removing three edges incident with a common vertex. In this paper, we extend
Marián Klesc
semanticscholar +1 more source
Finding minimal vertex extensions of a colored undirected graph
Background. The research considers the results of the finding minimal vertex extensions of the colored undirected graphs. This topic relates to the modelling of the completely fault tolerant technical systems with the different typed objects in the ...
M.B. Abrosimov, P.V. Razumovsky
doaj +1 more source
Distance Preserving Graph Simplification
Large graphs are difficult to represent, visualize, and understand. In this paper, we introduce "gate graph" - a new approach to perform graph simplification. A gate graph provides a simplified topological view of the original graph.
Huang, Yan, Jin, Ruoming, Ruan, Ning
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Kernel Bounds for Structural Parameterizations of Pathwidth [PDF]
Assuming the AND-distillation conjecture, the Pathwidth problem of determining whether a given graph G has pathwidth at most k admits no polynomial kernelization with respect to k.
B. Monien+14 more
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Unfolding of Finite Concurrent Automata [PDF]
We consider recognizable trace rewriting systems with level-regular contexts (RTL). A trace language is level-regular if the set of Foata normal forms of its elements is regular. We prove that the rewriting graph of a RTL is word-automatic.
Alexandre Mansard
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Game Chromatic Number of Tadpole Graph, Broom Graph, and Tribune Graph
Graph coloring game is one of application in graph theory. The goal in this article is determine game chromatic number of tadpole graph, broom graph, and tribune graph.
Fransiskus Fran, M Luthfi Abdurahman
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An FPT algorithm and a polynomial kernel for Linear Rankwidth-1 Vertex Deletion [PDF]
Linear rankwidth is a linearized variant of rankwidth, introduced by Oum and Seymour [Approximating clique-width and branch-width. J. Combin. Theory Ser. B, 96(4):514--528, 2006]. Motivated from recent development on graph modification problems regarding
Kanté, Mamadou Moustapha+3 more
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Further Results on Resistance Distance and Kirchhoff Index in Electric Networks
In electric circuit theory, it is of great interest to compute the effective resistance between any pairs of vertices of a network, as well as the Kirchhoff index.
Qun Liu, Jia-Bao Liu, Jinde Cao
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A central local metric dimension on acyclic and grid graph
The local metric dimension is one of many topics in graph theory with several applications. One of its applications is a new model for assigning codes to customers in delivery services. Let $ G $ be a connected graph and $ V(G) $ be a vertex set of $ G $.
Yuni Listiana+3 more
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