Results 1 to 10 of about 147,068 (229)
On BMRN*-colouring of planar digraphs [PDF]
In a recent work, Bensmail, Blanc, Cohen, Havet and Rocha, motivated by applications for TDMA scheduling problems, have introduced the notion of BMRN*-colouring of digraphs, which is a type of arc-colouring with particular colouring constraints.
Julien Bensmail, Foivos Fioravantes
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The generalized 3-connectivity of Cartesian product graphs [PDF]
Graph ...
Hengzhe Li, Xueliang Li, Yuefang Sun
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Enumeration of bilaterally symmetric 3-noncrossing partitions [PDF]
Schützenberger's theorem for the ordinary RSK correspondence naturally extends to Chen et. al's correspondence for matchings and partitions. Thus the counting of bilaterally symmetric $k$-noncrossing partitions naturally arises as an analogue for ...
Guoce Xin, Terence Y. J. Zhang
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The Real-rootedness of Eulerian Polynomials via the Hermite–Biehler Theorem [PDF]
Based on the Hermite–Biehler theorem, we simultaneously prove the real-rootedness of Eulerian polynomials of type $D$ and the real-rootedness of affine Eulerian polynomials of type $B$, which were first obtained by Savage and Visontai by using the ...
Arthur L.B. Yang, Philip B. Zhang
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More on the Rainbow Disconnection in Graphs
Let G be a nontrivial edge-colored connected graph. An edge-cut R of G is called a rainbow-cut if no two of its edges are colored the same. An edge-colored graph G is rainbow disconnected if for every two vertices u and v of G, there exists a u-v-rainbow-
Bai Xuqing +3 more
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Constrained ear decompositions in graphs and digraphs [PDF]
Ear decompositions of graphs are a standard concept related to several major problems in graph theory like the Traveling Salesman Problem. For example, the Hamiltonian Cycle Problem, which is notoriously N P-complete, is equivalent to deciding whether a ...
Frédéric Havet, Nicolas Nisse
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Oriented diameter and rainbow connection number of a graph [PDF]
Graph ...
Xiaolong Huang +3 more
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A subexponential-time, polynomial quantum space algorithm for inverting the CM group action
We present a quantum algorithm which computes group action inverses of the complex multiplication group action on isogenous ordinary elliptic curves, using subexponential time, but only polynomial quantum space.
Jao David +3 more
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Polynomial reconstruction of the matching polynomial
The matching polynomial of a graph is the generating function of the numbers of its matchings with respect to their cardinality. A graph polynomial is polynomial reconstructible, if its value for a graph can be determined from its values for the vertex ...
Xueliang Li, Yongtang Shi, Martin Trinks
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Integrable Combinatorics [PDF]
We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalborg, Denmark, August 10, 2012.)Comment: 21 pages, 16 figures, proceedings ...
Di Francesco, Philippe
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