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pro vyhledávání: '"Tomoki Nakamigawa"'
Autor:
Tomoki Nakamigawa
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AE,..., Iss Proceedings (2005)
It is proved that any graph of order $14n/3 + O(1)$ contains a family of n induced subgraphs of order $3$ such that they are vertex-disjoint and equivalent to each other.
Externí odkaz:
https://doaj.org/article/b3f5311e6f8141269ba0dbef2452cf89
Autor:
Yoshiaki Doi, Norio Konno, Tomoki Nakamigawa, Tadashi Sakuma, Etsuo Segawa, Hidehiro Shinohara, Shunya Tamura, Yuuho Tanaka, Kosuke Toyota
Publikováno v:
Discrete Applied Mathematics. 313:18-28
The exact formula for the average hitting time (HT, as an abbreviation) of simple random walks from one vertex to any other vertex on the square $C^2_N$ of an $N$-vertex cycle graph $C_N$ was given by N. Chair [\textit{Journal of Statistical Physics}
Autor:
Naoki Matsumoto, Tomoki Nakamigawa
Publikováno v:
Discrete Applied Mathematics. 298:155-164
Recently, the authors introduced a game invariant of graphs, called a game connectivity. In this paper, we investigate the edge version of the invariant, called a game edge-connectivity, by introducing a new combinatorial game on a graph, called a gr
Autor:
Tomoki Nakamigawa
Publikováno v:
Ars Mathematica Contemporanea. 18:381-391
A chord diagram E is a set of chords of a circle such that no pair of chords has a common endvertex. Let v 1 , v 2 , …, v 2 n be a sequence of vertices arranged in clockwise order along a circumference. A chord diagram { v 1 v n + 1 , v 2 v n + 2 ,
Publikováno v:
Graphs and Combinatorics. 36:51-62
We introduce a new combinatorial game of a weighted point set P on the plane in general position, called a convex grabbing game. In the game, two players alternately remove a point on the convex hull of P and obtain the weight of the removed point as
Autor:
Tomoki Nakamigawa, Tadashi Sakuma
Publikováno v:
Electronic Notes in Discrete Mathematics. 61:917-923
A chord diagram is a set of chords of a circle such that no pair of chords has a common endvertex. A chord diagram E is called nonintersecting if E contains no crossing. For a chord diagram E having a crossing S = { x 1 x 3 , x 2 x 4 } , the expansio
Publikováno v:
European Journal of Combinatorics. 95:103325
A graph puzzle ${\rm Puz}(G)$ of a graph $G$ is defined as follows. A configuration of ${\rm Puz}(G)$ is a bijection from the set of vertices of a board graph to the set of vertices of a pebble graph, both graphs being isomorphic to some input graph
Autor:
Tomoki Nakamigawa
Publikováno v:
Electronic Notes in Discrete Mathematics. 54:51-56
A chord diagram is a set of chords of a circle such that no pair of chords has a common endvertex. A pair of chords is called a crossing if the two chords intersect. A chord diagram E is called nonintersecting if E contains no crossing. For a chord d
Autor:
Tomoki Nakamigawa
Publikováno v:
Discrete Mathematics. 339:1699-1705
For a graph G and a family H of graphs, a vertex partition of G is called an H -decomposition, if every part induces a graph isomorphic to one of H . For 1 ? a ? k , let A ( k , a ) denote the graph which is a join of an empty graph of order a and a
Autor:
Naoki Matsumoto, Tomoki Nakamigawa
Publikováno v:
Discrete Mathematics. 343:112104
In this paper, we introduce a new game invariant of graphs, called game connectivity, which is related to the connectivity of graphs. We investigate many fundamental and significant topics of the game connectivity of graphs, and propose many open pro