EJC 2007 | Sciweavers

11

EJC
2007

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13 years 4 months ago

We investigate the historical roots of the ﬁeld of combinatorics on words. They comprise applications and interpretations in algebra, geometry and combinatorial enumeration. The...

Jean Berstel, Dominique Perrin

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EJC
2007

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Tree representations of graphs

13 years 4 months ago

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Nancy Eaton, Zoltán Füredi, Alexandr V...

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13

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EJC
2007

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Partial linear spaces built on hexagons

13 years 4 months ago

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3 We deﬁne four families of geometries with as point graph the graph — or its complement — of all elliptic 4 hyperplanes of a given parabolic quadric in any ﬁnite 6-dimensi...

Alice Devillers, Hendrik Van Maldeghem

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8

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EJC
2007

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Constructing t-designs from t-wise balanced designs

13 years 4 months ago

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We give a construction to obtain a t-design from a t-wise balanced design. More precisely, given a positive integer k and a t(v, {k1, k2, . . . , ks}, λ) design D, with with all ...

John P. McSorley, Leonard H. Soicher

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6

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EJC
2007

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Matrix identities on weighted partial Motzkin paths

13 years 4 months ago

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William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro...

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5

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EJC
2007

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Root shadow spaces

13 years 4 months ago

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We give a characterization of the root shadow spaces of buildings whose types correspond to Dynkin diagrams. The results generalize earlier geometric point-line characterizations ...

Arjeh M. Cohen, Gábor Ivanyos

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11

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EJC
2007

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Link complexes of subspace arrangements

13 years 4 months ago

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Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we deﬁne a simplicial complex ∆A,H as the subdivision of the link of A induced...

Axel Hultman

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12

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EJC
2007

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Bart-Moe games, JumbleG and discrepancy

13 years 4 months ago

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Let A and B be hypergraphs with a common vertex set V . In a (p, q, A ∪ B) Bart-Moe game, the players take turns selecting previously unclaimed vertices of V . The game ends whe...

Dan Hefetz, Michael Krivelevich, Tibor Szabó...

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6

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EJC
2007

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Area of Catalan paths on a checkerboard

13 years 4 months ago

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It is known that the area of all Catalan paths of length n is equal to 4n − `2n+1 n ´ , which coincides

Szu-En Cheng, Sen-Peng Eu, Tung-Shan Fu