“‘Sup Leeches?” Make Some Magic

Totally magic cordial labeling of some graphs

A graph G is said to have a totally magic cordial labeling with constant C if there exists a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + f(b) + f(ab) ≡ C (mod 2) for all ab ∈ E(G) and |nf (0) − nf (1)| ≤ 1, where nf (i) (i = 0, 1) is the sum of the number of vertices and edges with label i. In this paper, we give a necessary condition for an odd graph to be not totally magic cordial and ...

Leeches

Real worms don't eat bacteria. Leeches are segmented, eucoelomate worms of the phylum Annelida, distinguished from other annelids by anterior and posterior suckers used for locomotion and feeding — on blood or soft body parts of other animals. They are not to be confused with nematodes, which lack these (and most other) features. Leeches are mainly aquatic, but the Asian land leeches are well k...

Breakup coupling effects on near-barrier ¡sup¿6¡/sup¿Li, ¡sup¿7¡/sup¿Be and ¡sup¿8¡/sup¿B + ¡sup¿58¡/sup¿Ni elastic scattering compared

The Open University's repository of research publications and other research outputs Breakup coupling effects on near-barrier ¡sup¿6¡/sup¿Li, ¡sup¿7¡/sup¿Be and ¡sup¿8¡/sup¿B + ¡sup¿58¡/sup¿Ni elastic scattering compared Journal Article Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Rese...

Silent Mutations Make Some Noise

Synonymous mutations do not alter amino acids and are generally considered nonfunctional in cancer. Supek et al. now present a compelling analysis suggesting that such silent mutations can be oncogenic by altering transcript splicing and thereby affecting protein function.

Existence of some signed magic arrays