SynergyAn application of

Graph Theory

Jacob Chodoriwsky

Synergy

is not…

Synergy

Positive

◦ (whole) > (sum of parts)

Negative:

◦ (whole) < (sum of parts)

Today, focus on the positive!

Example:

http://www.bbc.co.uk/news/uk-scotland-

edinburgh-east-fife-10998281

Graph Theory

Vertices (dots) = things

Edges (lines) = synergy

Clique = all possible edges

Magic : The Gathering

life points: 20 → 0

Fields of Play

Battlefield Library Graveyard

Turn Structure (UDDER)

Untap

◦ upkeep

Draw

Do things

End turn

Remain calm

Do things

Land

Creatures, Spells, Artifacts

Attack!

Tap lands → spells

Tap creatures : attack!•Not during first turn on battlefield

Block with untapped creatures

Power ≥ toughness ?

DEAD.

Cast Instants : any time!

• Save a creature

• Prevent attack

• Many other options!

Play: 1 deck / pair

2 vs. 2

Improvise!

Analyze Synergy

Improve Synergy

Large clique: Aeo Paquette, 2004

Special Thanks to:

André ◦ Wizard’s Tower, Barrhaven

Britta◦ Youth University 2010, uOttawa

Dr. Fabrice Colin ◦ Laurentian University

Kyle◦ uOttawa Gaming Club

Image Sources www.pursuitist.com

www.1-poem.com

www.smugbastard.com

www.nevadaspacegrant.com

www.epicfail.com

www.microcows.com

www.2011-chevy-cruze.com

www.commons.wikimedia.org

www.thetidbit.com

www.light.jdspc.com

www.zcars.com.au

www.harishzone.com

www.wizards.com

www.thejewishstar.wordpress.com

www.en.wikipedia.org

www.newspirates.com

www.johnycyorhawkins.com

www.psdgraphics.com