منابع مشابه
Token Sliding on Chordal Graphs
Let I be an independent set of a graph G. Imagine that a token is located on any vertex of I . We can now move the tokens of I along the edges of the graph as long as the set of tokens still defines an independent set of G. Given two independent sets I and J , the TOKEN SLIDING problem consists in deciding whether there exists a sequence of independent sets which transforms I into J so that eve...
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Sliding Token is a natural reconfiguration problem in which vertices of independent sets are iteratively replaced by neighbors. We develop techniques that may be useful in answering the conjecture that Sliding Token is polynomial-time decidable on bipartite graphs. Along the way, we give efficient algorithms for Sliding Token on bipartite permutation and bipartite distance-hereditary graphs.
متن کاملToken Graphs
For a graph G and integer k ≥ 1, we define the token graph Fk(G) to be the graph with vertex set all k-subsets of V (G), where two vertices are adjacent in Fk(G) whenever their symmetric difference is a pair of adjacent vertices in G. Thus vertices of Fk(G) correspond to configurations of k indistinguishable tokens placed at distinct vertices of G, where two configurations are adjacent whenever...
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We consider the following question: can split graphs with odd maximum degree be edge-coloured with maximum degree colours? We show that any odd maximum degree split graph can be transformed into a special split graph. For this special split graph, we were able to solve the question, in case the graph has a quasi-universal vertex.
متن کاملOn the Parameterized Complexity for Token Jumping on Graphs
Suppose that we are given two independent sets I0 and Ir of a graph such that |I0| = |Ir|, and imagine that a token is placed on each vertex in I0. Then, the token jumping problem is to determine whether there exists a sequence of independent sets which transforms I0 into Ir so that each independent set in the sequence results from the previous one by moving exactly one token to another vertex....
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ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 2020
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s00224-020-09967-8