1. |
On a Duality Principle in Infinite Bipartite Graphs |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 385-392
Ron Aharoni,
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摘要:
We consider an extension of König's duality theorem to infinite bipartite graphs, conjectured by Erdös. We prove an equivalence between this conjecture and another conjecture, and using the equivalence we prove it in certain cases.
ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.385
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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2. |
Embeddingk‐Regular Graphs ink+ 1‐Regular Graphs |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 393-400
A. Gardiner,
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摘要:
Given akregular graphGof ordern, what is the minimum numberv(G)of extra vertices required to embedGin ak+ 1‐regular graph? Clearlyv(G)= 0 precisely when the complementg¯ofGhas a 1‐factor—in particular, whenn ⩾ 2kis even. Supposeg¯has no 1‐factor: ifn, khave opposite parity we show thatv(G)= 1, while ifn, khave the same parity (which must then be even withn<2k) we show thatv(G)=k+ 2. We then investigate regular graphs which fail to have a 1‐factor and list all such graphs for 2 ⩽k⩽ 12. Finally we prove that ifGis ak‐regular graph onnvertices which fails to span ak+ 1‐reguIar graph, then eitherg¯has an odd component, ork+ 4 ⩽n<3k/2. Fork⩽ 16 we list all forty‐onek‐regular graphsGfor whichg¯has odd component, yet which fail to span ak+ 1 ‐regular graph.
ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.393
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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3. |
On the Distribution of Square‐Free Numbers |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 401-405
J. Pintz,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.401
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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4. |
On the Explicit Formula of Riemann–Von Mangoldt, II |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 406-416
Dieter Wolke,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.406
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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5. |
On the Generalized Fractions of Sharp and Zakeri |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 417-427
Liam O'Carroll,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.417
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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6. |
A Space Curve whose Normal Bundle is Stable |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 428-434
P. E. Newstead,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.428
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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7. |
Almost‐Quaternion Substructures on the CanonicalCn−1‐Bundle overS2n−1 |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 435-442
Turgut Önder,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.435
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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8. |
The Hilbert Function of a ReducedK‐Algebra |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 443-452
A. V. Geramita,
P. Maroscia,
L. G. Roberts,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.443
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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9. |
Prime Ideals in Ring Extensions |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 453-460
R. B. Warfield,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.453
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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10. |
Algebras and Quadratic Forms |
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Journal of the London Mathematical Society,
Volume s2-28,
Issue 3,
2016,
Page 461-469
Klaus Bongartz,
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ISSN:0024-6107
DOI:10.1112/jlms/s2-28.3.461
出版商:Oxford University Press
年代:2016
数据来源: WILEY
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