𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Another note on cliques and independent sets

✍ Scribed by Fred Galvin


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
50 KB
Volume
35
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A note on cliques and independent sets
✍ Entringer, Roger C.; Goddard, Wayne; Henning, Michael A. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 58 KB πŸ‘ 1 views

For integers m, n β‰₯ 2, let f (m, n) be the minimum order of a graph where every vertex belongs to both a clique of cardinality m and an independent set of cardinality n. We show that f (m, n) = ( √ m -1 + √ n -1) 2 .

On feedback vertex sets and nonseparatin
✍ Ewald Speckenmeyer πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 341 KB

Let G be an undirected connected graph with n nodes. A subset F of nodes of G is a feedback vertex set (fvs) if G -F is a forest and a subset J of nodes of G is a nonseparating independent set (nsis) if no two nodes of J are adjacent and G -J is connected. f(G), z ( G ) denote the cardinalities of a

A note on cyclic difference sets
✍ Peter M. Neumann πŸ“‚ Article πŸ“… 1974 πŸ› John Wiley and Sons 🌐 English βš– 93 KB πŸ‘ 2 views
A note on orthogonal sets of hypercubes
✍ Anthony B. Evans πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 105 KB πŸ‘ 1 views

Mutually orthogonal sets of hypercubes are higher dimensional generalizations of mutually orthogonal sets of Latin squares. For Latin squares, it is well known that the Cayley table of a group of order n is a Latin square, which has no orthogonal mate if n is congruent to 2 modulo 4. We will prove a

Note on disjoint blocking sets in Galois
✍ JΓ‘nos BarΓ‘t; Stefano Marcugini; Fernanda Pambianco; TamΓ‘s SzΕ‘nyi πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 118 KB

## Abstract In this paper, we show that there are at least __cq__ disjoint blocking sets in PG(2,__q__), where __c__β€‰β‰ˆβ€‰1/3. The result also extends to some non‐Desarguesian planes of order __q__. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 14: 149–158, 2006